BITSAT Mathematics Sequences and Series MCQs

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

 BITSAT Mathematics Sequences 2

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

  • a)

    BITSAT Mathematics Sequences 3

  • b)

    BITSAT Mathematics Sequences 4

  • c)

    BITSAT Mathematics Sequences 5

  • d)

    BITSAT Mathematics Sequences 6

Answer:

BITSAT Mathematics Sequences 4

 

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)

    BITSAT Mathematics Sequences 8

  • d) -1

Answer: 2

 

Question: The sum to n terms of the series BITSAT Mathematics Sequences 9 __________ 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:

BITSAT Mathematics Sequences 10 

upto n terms is

  • a)

    BITSAT Mathematics Sequences 11

  • b)

    BITSAT Mathematics Sequences 12

  • c)

    BITSAT Mathematics Sequences 13

  • d) None of these

Answer:

BITSAT Mathematics Sequences 11

 

Question: If ω is the complex cube root of unity, then the value of ω+ ω BITSAT Mathematics Sequences 14 is

  • a) -1
  • b) 1
  • c) -i
  • d) i

Answer: -1

 

Question: The value of BITSAT Mathematics Sequences 15.

____ upto n terms is

  • a)

    BITSAT Mathematics Sequences 16

  • b)

    BITSAT Mathematics Sequences 17

  • c)

    BITSAT Mathematics Sequences 18

  • d)

    BITSAT Mathematics Sequences 19

Answer:

BITSAT Mathematics Sequences 17

 

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) 

    BITSAT Mathematics Sequences 20

  • b)

    BITSAT Mathematics Sequences 21

  • c)

    BITSAT Mathematics Sequences 22

  • d)

    BITSAT Mathematics Sequences 23

Answer:

BITSAT Mathematics Sequences 23

 

Question: If  BITSAT Mathematics Sequences 24 are A. P., then BITSAT Mathematics Sequences 25 BITSAT Mathematics Sequences 26 is equal to

  • a)

    BITSAT Mathematics Sequences 27

  • b)

    BITSAT Mathematics Sequences 28

  • c)

    BITSAT Mathematics Sequences 29

  • d) None of these

Answer:

BITSAT Mathematics Sequences 27

 

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

  • a) A positive integer
  • b) Divisible by n
  • c)

    BITSAT Mathematics Sequences 30

  • 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 BITSAT Mathematics Sequences 31 and BITSAT Mathematics Sequences 32  then Tmn equals

  • a)

    BITSAT Mathematics Sequences 33

  • b)

    BITSAT Mathematics Sequences 34

  • c) 1
  • d) 0

Answer: 1

 

Question: If x is positive then the sum to infinity of the series BITSAT Mathematics Sequences 35 ........... ∞ is

  • a) 1/2
  • b)

    BITSAT Mathematics Sequences 36

  • c)

    BITSAT Mathematics Sequences 37

  • d)

    BITSAT Mathematics Sequences 38

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)

    BITSAT Mathematics Sequences 39

  • b)

    BITSAT Mathematics Sequences 40

  • c)

    BITSAT Mathematics Sequences 41

  • d)

    BITSAT Mathematics Sequences 42

Answer:

BITSAT Mathematics Sequences 39

 

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 BITSAT Mathematics Sequences 43............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

 

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