Q8 of 102 Page 429

How many 2 - digit numbers are divisible by 7?

the first 2 digit number divisible by 7 is 14, and the last 2 digit number divisible by 7 is 98, so it forms AP with common difference 7

14,…,98

98 = 14 + (n - 1) × 7

n = 22

How many terms are there in the AP 13, 16, 19, …., 43?

Find the 8^th term from the end of the AP 7, 9, 11, …., 201.

If 7^th and 13^th terms of an AP be 34 and 64 respectively then find its 18^th term.

What is the 10^th common term between the APs 3, 7, 11, 15, 19, … and 1, 6, 11, 16, …?