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 eiA,eiB,eiC 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: 21/4. 22/8. 23/16. 24/32......∞ 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 Tr be the rth term of an A.P. for r = 1, 2, 3, .... If for some positive integers m, n we have
and
then Tmn 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 pth,qth and rth 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 7th 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 100th 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 nth 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, 72, 73,.......,7n
- a)
- b)
- c)
- d)
Answer:
Question: Sum to 20 terms of the series 1.32 + 2.52 + 3.72 +... 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 –1x, tan –1y, 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: 8th 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 7th 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 100th 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