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CBSE - Class 10 Mathematics Arithmetic Progression Worksheet

1.
Which of the following are APs ? If they form an AP, find the common difference $d$ and write three more terms.
(iv) – 10, – 6, – 2, 2, . . .
2.

the sum of first 100 natural numbers is

A)

4950

 B)

5050

 C)

5000

 D)

5150
3.
Find next five term of following sequences: a1 = 1, am = a (m-1) + 2
4.
In the following APs, find the missing terms in the boxes :
(v) ☐, 38, ☐, ☐, ☐, – 22
5.
Find number of terms in following sequences: 7, 10, 13,.....43
6.
In an AP:
(iv) given $a_3 = 15, S_{10} = 125$, find $d$ and $a_{10}$.
7.
In which of the following situations, does the list of numbers involved make an arithmetic progression, and why?
(iii) The cost of digging a well after every metre of digging, when it costs ₹ 150 for the first metre and rises by ₹ 50 for each subsequent metre.
8.
Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term?
9.
Find the sums given below :
(iii) –5 + (–8) + (–11) + . . . + (–230)
10.
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, . . .
11.

If the sum of q terms of an AP is , find it's nth term.

12.
Which of the following are APs ? If they form an AP, find the common difference $d$ and write three more terms.
(xiii) $\sqrt{3}, \sqrt{6}, \sqrt{9}, \sqrt{12}, . . .$
13.
Prove the given series is in AP: 12, 2 ,-8, -18...
14.
The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of $x$ such that the sum of the numbers of the houses preceding the house numbered $x$ is equal to the sum of the numbers of the houses following it. Find this value of $x$.
[Hint : $S_{x-1} = S_{49} - S_x$]
15.
Find the sum of first 22 terms of an AP in which $d = 7$ and 22nd term is 149.
16.

the sum of all 2-digit number divisible by 5 is

A)

1035

 B)

1245

 C)

1230

 D)

945
17.
The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP.
18.
Which of the following are APs ? If they form an AP, find the common difference $d$ and write three more terms.
(v) $3, 3+\sqrt{2}, 3+2\sqrt{2}, 3+3\sqrt{2}, . . .$
19.
Determine an AP whose third term is 9 and when fifth term is subtracted from 8th term, we get 6.
20.
Find next five term of following sequences: a1 = a2 = 2, am = a(m-1)-3, m>2

CBSE - Class 10 Mathematics Arithmetic Progression Worksheet

Answers

2.
Option B

3.
3,5,7,9,11
5.
13
11.

6n + 1

13.
Series is in AP with Common Difference -10

Solution: Check The Condition a2-a1=a3-a2

16.
Option D

19.
5, 7, 9, 11.......
20.
-1,-4,-7,-10,-13
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