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

Given: 7th term is 34 and 8th term is 64


To find: find its 18th term


34 = a + 6d ………….equation1


64 = a + 12d ………… equation2


Subtract equation1 from equation2 we get


d = 5


Put in equation1 we get


a = 4


So 18th term is


4 + 17 × 5 = 89


1