# MCQs for Mathematics Class 11 with Answers Chapter 9 Sequences and Series

Students of class 11 Mathematics should refer to MCQ Questions Class 11 Mathematics Sequences and Series with answers provided here which is an important chapter in Class 11 Mathematics NCERT textbook. These MCQ for Class 11 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 11 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming class 11 Mathematics examination

**Chapter 9 Sequences and Series MCQ with Answers Class 11 Mathematics**

MCQ Questions Class 11 Mathematics Sequences and Series with answers provided below have been prepared by expert teachers of grade 11. These objective questions with solutions are expected to come in the upcoming Standard 11 examinations. Learn the below provided MCQ questions to get better marks in examinations.

**Question. The first five terms of the sequence an = (−1)n − 15n + 1 are**

(a) 25, −125, 625, −3125, 15625

(b) 25, 125, 625, 3125, 15625

(c) 25, −125, 625, 3125, 15625

(d) 25, −125, 625, −3125, −15625

## Answer

A

**Question: If the 4th, 10th and 16th terms of a GP are x, y and z respectively, then x, y, z are in**

(a) AP

(b) GP

(c) AGP

(d) HP

## Answer

B

**Question: If a, b, c are in GP and log a – log 2 b, log 2 b – log 3c andlog 3c – log a are in AP, then a, b, c are the length of the sides of a triangle which is**

(a) acute angled

(b) obtuse angled

(c) right angled

(d) equilateral

## Answer

B

**Question: Find four numbers forming a GP in which the third term is greater than the first term by 9 and the second term is greater than 4th by 18. **

(a) 2, –6, 12, –24

(b) 3, 6, 12, 24

(c) 3, –6, 12, –24

(d) None of these

## Answer

C

**Question: The sum of n terms of the sequence 8, 88, 888, 8888,… is **

## Answer

A

**Question: The number which should be added to the numbers 2, 14, 62, so that the resulting numbers may be in GP, is**

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

B

**Question: If a, b, c and d are in GP, then (a ^{2}+b^{2}+c^{2})(b^{2}+c^{2}+d^{2}) c d ) is equal to**

(a) (ab + bc + cd)

^{2}

(b) (ab – bc – cd)

^{2}

(c) (ab + bc + cd)

(d) None of these

## Answer

A

**Question: If the pth, q th, r th terms of a GP are a, b and c respectively, then a ^{q}–^{r}b^{r-p}C^{p-q} is equal to**

(a) 0

(b) 2

(c) 1

(d) 4

## Answer

C

**Question: If x, 2y and 3 z are in AP, where the distinct numbers x, y, zare in GP, then the common ratio of the GP is**

(a) 3

(b)1

3(c) 2

(d)1/2

## Answer

B

**Question: If A is the arithmetic mean and G _{1}, G_{2} be two geometric means between any two numbers, then**

(a) 2A

(b) A

(c) 3A

(d) None of these

## Answer

A

**Question: The length of three unequal edges of a rectangular solid block are in GP. The volume of the block is 216 cm3 and the total surface area is 252 cm2. The length of the longest edge is**

(a) 12 cm

(b) 6 cm

(c) 18 cm

(d) 3 cm

## Answer

A

**Question: The third term of GP is 4. The product of its first 5 terms is **

(a) 43

(b) 44

(c) 45

(d) None of these

## Answer

C

**Question: If a, b, c and d are in GP, then a ^{n},+b^{n},b^{n}+c^{n},c^{n}+d^{n}**

(a) AP

(b) GP

(c) HP

(d) None of these

## Answer

B

**Question. 8th term from the end of the sequence 3, 6, 12, …… 25th term is**

(a) 393216

(b) 393206

(c) 313216

(d) 303216

## Answer

A

**Question. 40 is which term of the sequence 72, 70, 68 …… .**

(a) 18th

(b) 17th

(c) 15th

(d) 10th

## Answer

B

**Question. Common ratio of four numbers of a GP in which the third term is greater than the first term by 9 and the second term is greater than 4th by 18 is**

(a) 2

(b) −2

(c) 1

(d) −1

## Answer

B

**Question. The number of terms in the AP 7, 13, 19, …… 1205 are**

(a) 30

(b) 34

(c) 31

(d) 10

## Answer

B

**Question. Sum of the sequence 1/2 ,3/2 ,9/2 …… upto 10 terms is equal to**

(a) 14762

(b) 14726

(c) 41762

(d) 12476

## Answer

A

**Question. 6th term from the end of the sequence 9, 12, 15 ……… 20th term is**

(a) 50

(b) 52

(c) 51

(d) 55

## Answer

C

**Question. If the sum and product of three numbers of an AP is 24 and 440 respectively, then the common difference of the AP is**

(a) ±1

(b) ±3

(c) ±2

(d) ±5

## Answer

B

**Question. If t n denotes the nth term of the series2 + 3 + 6 + 11 + 18 + …, then t 50 is**

(a) 49^{2} −1

(b) 49^{2}

(c) 50^{2} +1

(d) 49^{2} + 2

## Answer

D

**Question. The sum of three consecutive terms of an AP is 15, and their product is 105, then the common difference is**

(a) ±1

(b) ±2

(c) ±3

(d) ±4

## Answer

B

**Question. If a, b, c are in arithmetic progression, then the value of****(a + 2b − c ) (2b + c − a) (a + 2b + c ) is**

(a) 16abc

(b) 4abc

(c) 8abc

(d) 3abc

## Answer

A

**Question. In an AP, if K th term is 5K +1. Then, the sum of first n terms is**

(a) n/2 (5n + 7)

(b) n/2 (n + 7)

(c) n/2 (n + 5)

(d) n/2 (7n + 5)

## Answer

A

**Question. The rth term of an AP sum of whose first n terms is 2n + 3n ^{2} is given by**

(a) 6r + 1

(b) 6r −1

(c) 6r

(d) 3r −1

## Answer

B

**Question. If in an AP, first term is 2 and the sum of first five terms is one-fourth of the next five terms, then the 20th terms is**

(a) −140

(b) −100

(c) −112

(d) −138

## Answer

C

**Question. The minimum value of 4 ^{x} + 4^{1-x} , x ∈R is **

(a) 2

(b) 4

(c) 1

(d) 0

## Answer

B

**Question. 6 arithmetic means between 3 and 24 are**

(a) 6, 9, 12, 15, 18 and 21

(b) 6, 9, 10, 15, 18 and 21

(c) 6, 8, 10, 15, 18 and 21

(d) 6, 9, 12, 13, 18 and 21

## Answer

A

**Question. 31/2 × 31/4 × 31/8 ×Kupto infinite terms is equal to**

(a) 3^{2}

(b) 3

(c) 3^{3}

(d) 3^{4}

## Answer

B

**Question. The number of terms in the AP 20, 25, 30, …… 100 are**

(a) 16

(b) 17

(c) 18

(d) 19

## Answer

B

**Question. The nth term of a GP 5, 25, 125, ….. is**

(a) 5n

(b) 5n − 1

(c) 5 n + 1

(d) 5 n −2

## Answer

A

**Question. If the third term of GP is 4, then the product of its first 5 terms is**

(a) 4^{3}

(b) 4^{4}

(c) 4^{5}

(d) None of these

## Answer

C

**Question. 4 gemoteric means between 3 and 96 are**

(a) 6, 12, 24, 48

(b) 6, 10, 24, 48

(c) 6, 10, 40, 48

(d) 48, 24, 10, 5

## Answer

A

**Question. In an AP, if mth term is n and the nth term is m, where m ¹ n, then pth term is**

(a) m+n −p

(b) m−n + p

(c) n −m+ p

(d) m+n + p

## Answer

A

**Question. In a GP, the 3rd term is 24 and the6th t erm is 192. Then, the 10th term is**

(a) 1084

(b) 3290

(c) 3072

(d) 2340

## Answer

C

**Question. A man starts repaying a loan as first instalment of ₹100. If he increases the instalment by ₹5 every month, then the amount he will pay in the 30th instalment is**

(a) ₹241

(b) ₹250

(c) ₹245

(d) ₹265

## Answer

C

**Question. If the 8th term of a GP is 192 with the common ratio 2, then the 12th term is**

(a) 1640

(b) 2084

(c) 3072

(d) 3126

## Answer

C

**Question. 5120 is which term of the GP 5, 10, 20, 40 ……**

(a) 11th

(b) 10th

(c) 6th

(d) 5th

## Answer

A

**Question. If the angles of any quadrilateral is in AP and their common difference is 10, then the angles are**

(a) 75°, 85°, 95° and 105°

(b) 75°, 80°, 90° and 100°

(c) 75°, 85°, 90° and 105°

(d) 70°, 85°, 95° and 105°

## Answer

A

**Question. The 5th term from the end of the sequence 16, 8, 4, 2, ……1/16 is**

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

A

**Question. The sum of first three terms of a GP is 13/12 and their product is −1. Then, which of the following statements is incorrect?**

(a) Common ratio is − 3/4 or −4/3

(b) First three terms are 4/3 , −1,3/4 for r = − 3/4

(c) First three terms are 3/4 , −1, 4/3 for r = −4/3

(d) Common ratio is 3/4 or 4/3

## Answer

D

**Question. The sum of first three terms of a GP is 13/12 and their product is −1then the common ratio of the GP is**

(a) −4/3 or −3/4

(b) 3/4 or 4/3

(c) 1/4 or −1/4

(d) 5/3 or −3/5

## Answer

A

**Question. The first five terms of the sequence,****where a1 = 3, an an = 3 − + 2 1 for all n > 1 are**

(a) 3, 15, 40, 110, 330

(b) 3, 11, 35, 107, 323

(c) 3, 20, 45, 110, 330

(d) 3, 11, 40, 107, 323

## Answer

B

**Question. A person has 2 parents, 4 grandparents, 8 great grandparents and so on. Then, the number of ancestors during the ten generations preceding his own is**

(a) 1084

(b) 2046

(c) 2250

(d) 1024

## Answer

B

**Question. If n terms of GP 3, 32 , 33 , ….. are needed to give the sum 120, then the value of n is**

(a) 2

(b) 3**(c**)** 4**

(d) 5

## Answer

D

**Question. The sum of an infinite GP is 80/9 and its common ratio is −4/5 then its first term is equal to**

(a) 10

(b) 14

(c) 15

(d) 16

## Answer

D

**Question. The geometric mean of 2 and 8 is**

(a) 4

(b) 6

(c) 7

(d) 5

## Answer

A

**Question. A sequence of non-zero numbers is said to be a geometric progression, if the ratio of each term, except the first one, by its preceding term is always constant.****Rahul being a plant lover decides to open a nursery and he bought few plants with pots. He wants to place pots in such a way that number of pots in first row is 2, in second row is 4 and in third row is 8 and so on… . **

**Based on the above information, answer the following questions.**

## Answer

**(i) The constant multiple by which the number of pots is increasing in every row is**

(a) 2

(b) 4

(c) 8

(d) 1

## Answer

A

**(ii) The number of pots in 8th row is**

(a) 156

(b) 256

(c) 300

(d) 456

## Answer

B

**(iii) The difference in number of pots placed in 7th row and 5th row is**

(a) 86

(b) 50

(c) 90

(d) 96

## Answer

D

**(iv) Total number of pots upto 10th row is**

(a) 1046

(b) 2046

(c) 1023

(d) 1024

## Answer

A

**(v) If Rahul wants to place 510 pots in total, then the total number of rows formed in this arrangement is**

(a) 7

(b) 8

(c) 9

(d) 5

## Answer

B

**Question. Each side of an equilateral triangle is 24 cm. The mid-point of its sides are joined to form another triangle. This process is going continuously infinite.**

**Based on above information, answer the following questions.**

**(i) The side of the 5th triangle is (in cm)**

(a) 3

(b) 6

(c) 1.5

(d) 0.75

## Answer

C

**(ii) The sum of perimeter of first 6 triangle is (in cm)**

(a) 569/4

(b) 567/4

(c) 120

(d) 144

## Answer

B

**(iii) The area of all the triangle is (in sq cm)**

(a) 576

(b) 192 3

(c) 144 3

(d) 169 3

## Answer

B

**(iv) The sum of perimeter of all triangle is (in cm)**

(a) 144

(b) 169

(c) 400

(d) 625

## Answer

A

**(v) The perimeter of 7th triangle is (in cm)**

(a) 7/8

(b) 9/8

(c) 5/8

(d) 3/4

## Answer

B

**Question. A company produces 500 computers in the third year and 600 computers in the seventh year. Assuming that the production increases uniformly by a****constant number every year.**

**Based on the above information, answer the following questions.**

**(i) The value of the fixed number by which production is increasing every year is**

(a) 25

(b) 20

(c) 10

(d) 30

## Answer

a

**(ii) The production in first year is**

(a) 400

(b) 250

(c) 450

(d) 300

## Answer

c

**(iii) The total production in 10 years is**

(a) 5625

(b) 5265

(c) 2655

(d) 6525

## Answer

A

**(iv) The number of computers produced in 21st year is**

(a) 650

(b) 700

(c) 850

(d) 950

## Answer

D

**(v) The difference in number of computers produced in 10th year and 8th year is**

(a) 25

(b) 50

(c) 100

(d) 75

## Answer

B

We hope the above MCQ Questions Class 11 Mathematics Sequences and Series with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Sequences and Series is an important chapter in Class 11 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for benefit of class 11 students. Please go through these and let us know if you have any feedback in the comments section.