ARITHMETIC PROGRESSIONS Test

ARITHMETIC PROGRESSIONS

This is ARITHMETIC PROGRESSIONS Test-04 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
In an A.P., if \({a_m} = \frac{1}{n}\) and \({a_n} = \frac{1}{m}\), then \({a_{mn}} = \)
  • A
    1
    Correct
  • B
    0
  • C
    2
  • D
    – 1
2
The common difference of the A.P whose \({S_n} = {\text{ }}3{n^2} + {\text{ }}7n\) is
  • A
    2
  • B
    6
    Correct
  • C
    1
  • D
    5
3
The sum of three terms of an A.P. is 72, then its middle term is
  • A
    36
  • B
    24
    Correct
  • C
    18
  • D
    20
4
The first and last terms of an A.P. are 1 and 11. If their sum is 36, then the number of terms will be
  • A
    7
  • B
    5
  • C
    6
    Correct
  • D
    8
5
The number of terms of the A.P. 5, 8, 11, 14, ……. to be taken so that the sum is 258 is
  • A
    12
    Correct
  • B
    16
  • C
    14
  • D
    10
6
The sum of first 20 terms of the A.P. 10, 6, 2, …… is
  • A
    – 480
  • B
    – 500
  • C
    – 560
    Correct
  • D
    – 400
7
The sum of first 20 terms of the A.P. 10, 6, 2, …… is
  • A
    – 500
  • B
    – 400
  • C
    – 560
    Correct
  • D
    – 480
8
The sum of first five multiples of 3 is
  • A
    45
    Correct
  • B
    55
  • C
    50
  • D
    65
9
\({S_n} - {S_{n - 1}} = \)
  • A
    \({a_{n - 1}}\)
  • B
    \({a_n}\)
    Correct
  • C
    none of these
  • D
    \({a_{n + 1}}\)
10
The sum first ‘n’ positive integers is
  • A
    \(\frac{{n(n + 1)}}{3}\)
  • B
    \(\frac{{n(n - 1)}}{3}\)
  • C
    \(\frac{{n(n - 1)}}{2}\)
  • D
    \(\frac{{n(n + 1)}}{2}\)
    Correct
11
The sum of first 24 terms of the list of numbers whose nth term is given by \({a_n} = {\text{ }}3{\text{ }} + {\text{ }}2n\) is
  • A
    672
    Correct
  • B
    600
  • C
    672
  • D
    680
  • E
    640
12
The sum of the first 15 multiples of 8 is
  • A
    1000
  • B
    960
    Correct
  • C
    900
  • D
    870
13
In an A.P. it is given that a = 3, n = 8, S = 192, then d =
  • A
    6
    Correct
  • B
    8
  • C
    7
  • D
    9
14
The sum of the first ‘n’ terms of an A.P. is given by
  • A
    \(\frac{{n + 1}}{2}\left[ {2a + (n - 1)d} \right]\)
  • B
    \(\frac{n}{2}\left[ {a + (n - 1)d} \right]\)
  • C
    \(\frac{n}{2}\left[ {2a + (n - 1)d} \right]\)
    Correct
  • D
    \(\frac{n}{2}\left[ {2a + (n + 1)d} \right]\)
15
Which of the following is the sum of ‘n’ terms of an A.P.?
  • A
    2n + 3
  • B
    \({n^2} + {\text{ }}2\)
  • C
    7n – 8
  • D
    \(5{n^2}\;--\;2n.\)
    Correct