Which term of A.P. 3, 8, 13, 18, 23,...., is 98?

Question

KnowledgeBoat · Accepted Answer

In the A.P. 3, 8, 13, 18, 23,...., a = 3 and d = 8 - 3 = 5. Let nth term be 98. ∴ an = 98 nth term of an A.P. is given by, an = a + (n - 1)d ⇒ 98 = 3 + (n - 1)5 ⇒ 98 - 3 = (n - 1)5 ⇒ 95 = (n - 1)5 ⇒ (n - 1) = ⇒ n - 1 = 19 ⇒ n = 19 + 1 ⇒ n = 20. Hence, 20th term of A.P. is 98.

Mathematics

Which term of A.P. 3, 8, 13, 18, 23,…., is 98?

AP

Related Questions

How many terms are there in the A.P. 6, 10, 14, 18, …., 174 ?

How many terms are there in the A.P. 41, 38, 35 ,…., -1 ?

Which term of A.P. 72, 68, 64, 60, …., is 0 ?