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CBSE - Class 10 Mathematics Arithmetic Progression Worksheet

Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows:
(iv) $a = – 1, d = \frac{1}{2}$

Find next five term of following sequences: am = -1, am = (am-1)/m

Which of the following are APs ? If they form an AP, find the common difference $d$ and write three more terms.
(x) $a, 2a, 3a, 4a, . . .$

Find the sum of first 22 terms of an AP in which $d = 7$ and 22nd term is 149.

Which of the following are APs ? If they form an AP, find the common difference $d$ and write three more terms.
(viii) $-\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, . . .$

Find the first five term of following given sequences: am = 3m

if the 3rd and 9th terms of an AP are 4 and -8 respectively, then which term of the AP is 0?

5th

7th

11th

13th

The 10^th term from the end of the A.P. -5, -10, -15,…, -1000 is

-950

-955

-965

-980

Which of the following are APs ? If they form an AP, find the common difference $d$ and write three more terms.
(ii) $2, \frac{5}{2}, 3, \frac{7}{2}, . . .$

10.

Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows:
(v) $a = – 1.25, d = – 0.25$

11.

In the following APs, find the missing terms in the boxes :
(iv) – 4, ☐, ☐, ☐, ☐, 6

12.

Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

13.

In an AP:
(ix) given $a = 3, n = 8, S = 192$, find $d$.

14.

Show that $a_1, a_2, . . ., a_n, . . .$ form an AP where $a_n$ is defined as below :
(ii) $a_n = 9 – 5n$
Also find the sum of the first 15 terms in each case.

15.

In an AP:
(iv) given $a_3 = 15, S_{10} = 125$, find $d$ and $a_{10}$.

16.

Which of the following are APs ? If they form an AP, find the common difference $d$ and write three more terms.
(v) $3, 3+\sqrt{2}, 3+2\sqrt{2}, 3+3\sqrt{2}, . . .$

17.

Which of the following are APs ? If they form an AP, find the common difference $d$ and write three more terms.
(ix) 1, 3, 9, 27, . . .

18.

Find the number of terms in each of the following APs :
(i) 7, 13, 19, . . . , 205

19.

If the sum of q terms of an AP is $3q^{2} + 4q$ , find it's nth term.

20.

The sum of n term of an AP is $3n^{2} + 5n$ . Find the AP hence find its 15th term.

Worksheet Answers

-1/2,-1/6,-1/24,-1/120,-1/720

3, 9, 27, 81, 243

Option A

Option B

19.

6n + 1

20.

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