# ARITHMETIC PROGRESSION PRACTICE PROBLEMS FOR CA FOUNDATION

Problem 1 :

If the general term of a sequence is (n - 1)/(n + 1), find the 3rd term of the sequence.

A)  -2     B)  1/3     C)  1/2    D)  3

Solution

Problem 2 :

Which of the following is not an arithmetic sequence?

A)  11, 2, -8, -19, ..........        B)  4, 7, 10, 13, ............

C)  57, 51, 45, 39, ........     D)  -3, -5, -7, -9, .......

Solution

Problem 3 :

If the common difference of an arithmetic sequence is 4 and T(6) = 15, find the first term of the sequence.

A)  -9     B)  -5     C)  11/5     D)  35

Solution

Problem 4 :

If the general term of an arithmetic sequence is T(n) = 7 - 3n, find the sum of the first 7 terms of the sequence.

A)  -56    B)  -35     C)  4    D)  210

Solution

Problem 5 :

Find the sum of the integers between 301 and 400 inclusive that are multiples of 4.

A)  8400    B)  8800     C)  20200    D)  49900

Solution

Problem 6 :

Find the sum of the arithmetic series.

Solution

Problem 7 :

The sum of all natural numbers between 100 and 1000 which are multiple of 5 is.

A)  99550     B)  96450      C)  97450      D)  95450

Solution

Problem 8 :

The sum of an AP whose first term is -4 and last term is 146 is 7171. Find the value of n.

A)  99    B)  100      C)  101     D)  102

Solution

Problem 9 :

Divide 30 into five parts in A.P such that the first and last parts are in the ratio 2 : 3

Solution

Problem 10 :

Insert 4 A.M' between 3 and 18.

A)  12, 15, 9, 6        B)  9, 6, 12, 15       C)  6, 9, 12, 15

D)  15, 12, 9, 6

Solution

Problem 11 :

(x + 1), 3x and (4x + 2) are in A.P. Find the value of x.

A)  2    B)  3    C)  4   D)  5

Solution

Problem 12 :

Find the sum of the series

2+ 7 + 12+ ...........297

A)  8970    B)  7630    C)  8870     D) 9875

Solution

Problem 13 :

Find the number which should be added to the sum of any number of terms of the A.P 3, 5, 7, 9, 11, ...... resulting in a perfect square,

A)  -1    B)  0    C)  1      D)  none

Solution

1)  t3 = 1/2, option C

2)  11, 2, -8, -19, .......... , option A

3)  a = -5, option B

4)  -35, option B

5)  8800, option B

6)  38  1/2, option C

7)  99550, option A

8)  101, option C

9)  option A

10)   9, 6, 12, 15 , option B

11) x = 3, option B

12)  8970, option A

13)  1, option C.

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