BITSAT Mathematics Sequences and Series MCQs with answers available in Pdf for free download. The MCQ Questions for BITSAT Mathematics with answers have been prepared as per the latest BITSAT Mathematics syllabus, books and examination pattern. Multiple Choice Questions form important part of competitive exams and BITSAT exam and if practiced properly can help you to get higher rank. Refer to more topic wise BITSAT Mathematics Questions and also download more latest study material for all subjects and do free BITSAT Mathematics Mock Test

## MCQ for BITSAT Mathematics Sequences and Series

BITSAT Mathematics students should refer to the following multiple-choice questions with answers for Sequences and Series in BITSAT. These MCQ questions with answers for BITSAT Mathematics will come in exams and help you to score good marks

### Sequences and Series MCQ Questions with Answers

#### Question: If A, B, C are the angles of a triangle and e^{iA},e^{iB},e^{iC} are in A.P. Then the triangle must be

- a) Right angled
- b) Isosceles
- c) Equilateral
- d) None of these

**Answer: Equilateral**

#### Question: If

#### where p, q, t and s are constants, then the value of s is equal to

- a)
- b)
- c)
- d)

**Answer:**

#### Question: After striking the floor a certain ball rebounds 4/5th of its height from which it has fallen. The total distance that the ball travels before coming to rest if it is gently released from a height of 120m is

- a) 960 m
- b) 1000 m
- c) 1080 m
- d) Infinite

**Answer: 1080 m**

#### Question: 2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......∞ is equal to-

- a) 1
- b) 2
- c) 3/2
- d) 5/2

**Answer: ****2**

#### Question: The fourth term of an A.P. is three times of the first term and the seventh term exceeds the twice of the third term by one, then the common difference of the progression is

- a) 2
- b) 3
- c)
- d) -1

**Answer: ****2**

#### Question: The sum to n terms of the series __________ is

- a) n – 1 – 2
^{– n} - b) 1
- c) n – 1 + 2
^{– n} - d) 1 + 2
^{– n}

**Answer: ****n – 1 + 2 ^{– n}**

#### Question: If log a, log b, and log c are in A.P. and also log a– log 2b, log 2b – log 3c, log 3c – log a are in A.P., then

- a) a, b, c, are in H.P
- b) a, 2b, 3c are in A.P.
- c) a, b, c are the sides of a triangle
- d) None of these

**Answer: a, b, c are the sides of a triangle**

#### Question:

**upto n terms is**

- a)
- b)
- c)
- d) None of these

**Answer:**

#### Question: If ω is the complex cube root of unity, then the value of ω+ ω is

- a) -1
- b) 1
- c) -i
- d) i

**Answer: ****-1**

#### Question: The value of .

#### ____ upto n terms is

- a)
- b)
- c)
- d)

**Answer:**

#### Question: If binomial coefficients of three consecutive terms of (1 + x)^{n} are in HP, then the maximum value of n is

- a) 1
- b) 2
- c) 0
- d) None of these

**Answer: ****None of these**

#### Question: If the (2p)^{th} term of a H.P. is q and the (2q)^{th} term is p, then the 2(p + q)^{th} term is-

- a)
- b)
- c)
- d)

**Answer:**

#### Question: If are A. P., then is equal to

- a)
- b)
- c)
- d) None of these

**Answer:**

#### Question: The product of n positive numbers is unity, then their sum is :

- a) A positive integer
- b) Divisible by n
- c)
- d) Never less than n

**Answer: ****Never less than n**

#### Question: Let T_{r} be the r^{th} term of an A.P. for r = 1, 2, 3, .... If for some positive integers m, n we have and then T_{mn} equals

- a)
- b)
- c) 1
- d) 0

**Answer: ****1**

#### Question: If x is positive then the sum to infinity of the series ........... ∞ is

- a) 1/2
- b)
- c)
- d)

**Answer: ****1/2**

#### Question: If p^{th},q^{th} and r^{th} terms of H.P. are u,v,w respectively, then find the value of the expression (q – r) vw + (r – p) wu + (p – q) uv.

- a) 2
- b) 0
- c) 4
- d) 8

**Answer: ****0**

#### Question: If the sum of the first 2n terms of 2, 5, 8, ....... is equal to the sum of the first n terms of 57, 59, 61......., then n is equal to

- a) 10
- b) 12
- c) 11
- d) 13

**Answer: ****11**

#### Question: If m arithmetic means are inserted between 1 and 31 so that the ratio of the 7^{th} and (m – 1)^{th} means is 5 : 9, then find the value of m

- a) 14
- b) 24
- c) 10
- d) 20

**Answer: ****14**

#### Question: The 100^{th} term of the sequence 1, 2, 2, 3, 3, 3, 4, 4, 4, 4,... is

- a) 12
- b) 13
- c) 14
- d) 15

**Answer: ****14**

#### Question: The n^{th} term of a GP is 128 and the sum of its n terms is 255. If its common ratio is 2 then find the first term.

- a) 1
- b) 2
- c) 3
- d) 4

**Answer: ****1**

#### Question: Find the geometric mean of numbers 7, 7^{2}, 7^{3},.......,7^{n}

- a)
- b)
- c)
- d)

**Answer:**

#### Question: Sum to 20 terms of the series 1.3^{2} + 2.5^{2} + 3.7^{2} +... is

- a) 178090
- b) 168090
- c) 188090
- d) 190090

**Answer: 188090**

#### Question: The sum of infinite terms of the geometric progression ............is

- a) √2( √2 +1)
^{2} - b) ( √2 +1)
^{2} - c) 5 √2
- d) 3 √2 + √5

**Answer: ****√2( √2 +1) ^{2}**

#### Question: If the non-zero numbers x, y, z are in A. P. and tan ^{–1}x, tan ^{–1}y, tan^{ –1} z are in A. P. then

- a) x = y = z
- b) y = zx
- c) x = yz
- d) z = xy

**Answer: x = y = z**

#### Question: 8^{th} term of the series 2 √2, √2,0,..... will be –

- a) -5 √2
- b) 5 √2
- c) 10 √2
- d) -10 √2

**Answer: ****-5 √2**

#### Question: a, b, c are first three terms of a G.P. If HM of a and b is 12 and that of b and c is 36, then find the value of a.

- a) 6
- b) 12
- c) 10
- d) 8

**Answer: ****8**

#### Question: If the sum of the first 2n terms of 2, 5, 8, ....... is equal to the sum of the first n terms of 57, 59, 61......., then n is equal to

- a) 10
- b) 12
- c) 11
- d) 13

**Answer: ****11**

#### Question: If m arithmetic means are inserted between 1 and 31 so that the ratio of the 7^{th} and (m – 1)^{th} means is 5 : 9, then find the value of m.

- a) 14
- b) 24
- c) 10
- d) 20

**Answer: ****14**

#### Question: The 100^{th} term of the sequence 1, 2, 2, 3, 3, 3, 4,4, 4, 4,... is

- a) 12
- b) 13
- c) 14
- d) 15

**Answer: ****14**