Q38 of 202 Page 9

Find the number of all three digit natural numbers which are divisible by 9.

Let the three digit numbers divisible by 9 are

108, 117, 126,… ,999

a=108, d=9, last term, l= 999

Number of terms, n = +1

= + 1

= +1

=100

Hence, the number of all three digit natural numbers which are divisible by 9 are 100

Which term of the A.P. will be 120 more than its 21^st term?

The 17^th term of an A.P. is 5 more than twice its 8^th term. If the 11^th term of the A.P. is 43, find the n^th term.

The 19^th term of an A.P. is equal to three times its sixth term. If its 9^th term is 19, find the A.P.

The 9^th term of an A.P. is equal to 6 times its second term. If its 5^th term is 22, find the A.P.