Find the next three terms of the sequence : √5, 5, 5√5, .... .

Question

KnowledgeBoat · Accepted Answer

Since, Hence, the sequence is a G.P. with r = Next three terms are = 4^th, 5^th and 6^th. We know that n^th term of G.P., a_n = ar^{n - 1} ⇒ a₄ = ar^{(4 - 1)} = ar³ = = 25. ⇒ a₅ = ar^{(5 - 1)} = ar⁴ = = . ⇒ a₆ = ar^{(6 - 1)} = ar⁵ = = 125. Hence, next three terms of the G.P. are = 25, 25√5 and 125.

Mathematics

Find the next three terms of the sequence : √5, 5, 5√5, .... .

GP

Related Questions

Find the next two terms of the series :
2 - 6 + 18 - 54 ………….

Mathematics

Find the next three terms of the sequence : √5, 5, 5√5, .... .

GP

Related Questions

Find the next two terms of the series :2 - 6 + 18 - 54 ………….

Find the next two terms of the series :
2 - 6 + 18 - 54 ………….