Question:
Which term of the AP 3, 8, 13, 18,... is 88?
Solution:
In the given AP, first term, a = 3 and common difference, d = (8 - 3) = 5.
Let's its nth term be 88.
Then Tn = 88
⇒ a + (n - 1)d = 88
⇒ 3 + (n - 1) ⨯ 5 = 88
⇒ 5n - 2 = 88
⇒ 5n = 90
⇒ n = 18
Hence, the 18th term of the given AP is 88.