Write the next term for the AP √8,√18,√32,.........

1.	Write the next term for the AP √8,√18,√32,.........
Answer» The given AP is \(\sqrt{8},\sqrt{18},\sqrt{32},.......\) On simplifying the terms, we get: \(2\sqrt{2},3\sqrt{2},4\sqrt{2},.....\) Here, \(a=2\sqrt{2}\) and \(d=(3\sqrt{2}-2\sqrt{2})=\sqrt{2}\) ∴ Next term T₄ = a + 3d = \(2\sqrt{2}+3\sqrt{2}=5\sqrt{2}=\sqrt{50}\)

Answer»

The given AP is \(\sqrt{8},\sqrt{18},\sqrt{32},.......\)

On simplifying the terms, we get:

\(2\sqrt{2},3\sqrt{2},4\sqrt{2},.....\)

Here, \(a=2\sqrt{2}\) and \(d=(3\sqrt{2}-2\sqrt{2})=\sqrt{2}\)

∴ Next term T₄ = a + 3d = \(2\sqrt{2}+3\sqrt{2}=5\sqrt{2}=\sqrt{50}\)

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