Sequences And Series CBSE Questions & Answers

Sequences And Series

This is Mathematics Class 11 Sequences and Series CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The next term of the sequence 1, 2, 4, 7,11,…. Is
  • A
    17
  • B
    18
  • C
    15
  • D
    16
    Correct
2
The next term of the sequence, 2, 6, 12, 20, …..is
  • A
    24
  • B
    40
  • C
    28
  • D
    30
    Correct
3
The next term of the series \({3 \over 2} + {5 \over 4} + {9 \over 8} + {{17} \over {16}}.....\) is
  • A
    \({{33} \over {32}}\)
    Correct
  • B
    \({{29} \over {32}}\)
  • C
    \({{37} \over {32}}\)
  • D
    \({{25} \over {32}}\)
4
Which term of the sequence 8 – 6i, 7 – 4i, 6 – 2i, ….is a real number ?
  • A
    \({{\rm{5}}^{{\rm{th}}}}\)
  • B
    \({{\rm{6}}^{{\rm{th}}}}\)
  • C
    \({{\rm{4}}^{{\rm{th}}}}\)
    Correct
  • D
    \({{\rm{7}}^{{\rm{th}}}}\)
5
All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is a
  • A
    none of these
    Correct
  • B
    A.P.
  • C
    G.P.
  • D
    H.P.
6
If a, 4, b are in A.P.; a, 2, b are in G.P.; then a, 1, b are in
  • A
    none of these
  • B
    A.P.
  • C
    G.P.
  • D
    H.P.
    Correct
7
The eleventh term of the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, ….. is
  • A
    66
  • B
    89
    Correct
  • C
    72
  • D
    none of these
8
In an A.P., sum of first p terms is equal to the sum of first q terms. Sum of its first p + q terms is
  • A
    - ( p + q)
  • B
    p + q
  • C
    none of these.
  • D
    0
    Correct
9
The sum of 40 A.M.’s between two number is 120. The sum of 50 A.M.’s between them is equal to
  • A
    150
    Correct
  • B
    none of these
  • C
    130
  • D
    160
10
In an A.P., sum of first p terms is q and sum of first q terms is p. Sum of its p + q terms is
  • A
    p + q
  • B
    - ( p + q)
    Correct
  • C
    none of these
  • D
    0
11
pth term of an A.P. is q and qth term is p, its (p+ q)th term is
  • A
    - (p + q)
  • B
    p + q
  • C
    none of these
  • D
    0
    Correct
12
pth term of an H.P. is qr and qth term is pr, then rth term of the H.P. is
  • A
    \(pq{r^2}\)
  • B
    pqr
  • C
    pq
    Correct
  • D
    1
13
The value of b for which the roots of the equation six x = b are in A.P. is
  • A
    \({{\sqrt 1 } \over 2}\)
  • B
    \({1 \over 2}\)
  • C
    \({{\sqrt 3 } \over 2}\)
  • D
    -1
    Correct
14
The number of numbers between n and \({n^2}\) which are divisible by n is
  • A
    n
  • B
    n – 2
    Correct
  • C
    none of these
  • D
    n – 1
15
The number of terms common to the Arithmetic progressions 3, 7, 11, …., 407 and 2, 9, 16, …., 709 is
  • A
    28
  • B
    21
  • C
    51
  • D
    14
    Correct