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CBSE - Class 10 Mathematics Arithmetic Progression Worksheet

Find the sums given below :
(iii) –5 + (–8) + (–11) + . . . + (–230)

An AP consists of 60 terms. If the first and last terms are 7 and 125 respectively. Find 30th term.

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, . . .

Find number of terms in following sequences: 7, 10, 13,.....43

A ladder has rungs 25 cm apart. (see Fig. 5.7). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and the bottom rungs are $2\frac{1}{2}$ m apart, what is the length of the wood required for the rungs? [Hint : Number of rungs = $\frac{250}{25} + 1$]

Find number of terms in following sequences: 1, 21/11, 31/11, 41/11,...; y = 171/11

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

How many three digits numbers are such that when divided by 7, leaves a reminder 3 in each case ?

A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: ₹ 200 for the first day, ₹ 250 for the second day, ₹ 300 for the third day, etc., the penalty for each succeeding day being ₹ 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?

10.

For what value of $n$, are the $n$th terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?

11.

In an AP:
(vii) given $a = 8, a_n = 62, S_n = 210$, find $n$ and $d$.

12.

If the sum of first 7 terms of an A.P. is 49 and that of first 17 terms is 289, find the sum of n terms.

n^2

n^3

n/2

13.

The nth term of an AP is 3n + 5. what is the common difference

14.

Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_n$ the $n$th term of the AP:
(iv) $a=–18.9, d=2.5, n=..., a_n=3.6$

15.

Which term of the A.P.: 21, 18, 15, .... is zero

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.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first $n$ terms.

18.

In the following APs, find the missing terms in the boxes :
(iii) 5, ☐, ☐, $9\frac{1}{2}$

19.

The 17th term of an AP is 17 and its 14th term is 29. the common difference of the AP is

-2

20.

If the 7th term of an AP is 1/9 and 9th term is 1/7. Find the 63rd term.

Worksheet Answers

Option A

129

12.

Option A

13.

Option C

15.

Option C

19.

Option B

20.

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