Chapter 10 - Arithmetic Progression Exercise Ex. 10(B)

Question 1

In an A.P., ten times of its tenth term is equal to thirty times of its 30^th term. Find its 40^th term.

Solution 1

Question 2

How many two-digit numbers are divisible by 3?

Solution 2

Question 3

Which term of A.P. 5, 15, 25 ………… will be 130 more than its 31^st term?

Solution 3

Question 4

Find the value of p, if x, 2x + p and 3x + 6 are in A.P

Solution 4

Question 5

If the 3^rd and the 9^th terms of an arithmetic progression are 4 and -8 respectively, Which term of it is zero?

Solution 5

Question 6

How many three-digit numbers are divisible by 87?

Solution 6

Question 7

For what value of n, the n^th term of A.P 63, 65, 67, …….. and n^th term of A.P. 3, 10, 17,…….. are equal to each other?

Solution 7

Question 8

Determine the A.P. Whose 3^rd term is 16 and the 7^th term exceeds the 5^th term by 12.

Solution 8

Question 9

If numbers n - 2, 4n - 1 and 5n + 2 are in A.P. find the value of n and its next two terms.

Solution 9

Question 10

Determine the value of k for which k² + 4k + 8, 2k² + 3k + 6 and 3k² + 4k + 4 are in A.P

Solution 10

Question 11

If a, b and c are in A.P show that:

(i) 4a, 4b and 4c are in A.P

(ii) a + 4, b + 4 and c + 4 are in A.P.

Solution 11

Question 12

An A.P consists of 57 terms of which 7^th term is 13 and the last term is 108. Find the 45^th term of this A.P.

Solution 12

Question 13

4^th term of an A.P is equal to 3 times its first term and 7^th term exceeds twice the 3^rd time by I. Find the first term and the common difference.

Solution 13

Question 14

The sum of the 2^nd term and the 7^th term of an A.P is 30. If its 15^th term is 1 less than twice of its 8^th term, find the A.P

Solution 14

Question 15

In an A.P, if m^th term is n and n^th term is m, show that its r^th term is (m + n - r)

Solution 15

Question 16

Which term of the A.P 3, 10, 17, ………. Will be 84 more than its 13^th term?

Solution 16