Find the 16th term from the end of the AP 7, 2, –3, –8, –13, …

1.	Find the 16th term from the end of the AP 7, 2, –3, –8, –13, …., –113
Answer» To Find : 28^th term from the end of the AP. Given: The AP is 7, 2, –3, –8, –13, …., –113 a₁ = 7, a₂ = 2, d = 2–7 = –5 and l = –113 Formula Used: n^th term from the end = l– (n–1)d (Where l is last term and d is common difference of given AP) By using n^th term from the end = l– (n–1)d formula 16^th term from the end = (–113) – 15d → (–113)–15 × (–5) = –38 So 16^th term from the end is equal to –38.

Find the 16th term from the end of the AP 7, 2, –3, –8, –13, …., –113

Answer»

To Find : 28^th term from the end of the AP.

Given: The AP is 7, 2, –3, –8, –13, …., –113

a₁ = 7, a₂ = 2, d = 2–7 = –5 and l = –113

Formula Used: n^th term from the end = l– (n–1)d

(Where l is last term and d is common difference of given AP)

By using n^th term from the end = l– (n–1)d formula

16^th term from the end = (–113) – 15d → (–113)–15 × (–5) = –38

So 16^th term from the end is equal to –38.