Write the next term of the AP √2,√8,√18,.........

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

Answer»

The given AP is \(\sqrt{2},\sqrt{8},\sqrt{18},......\)

On simplifying the terms, we get:

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

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

∴ Next term, T₄ = a + 3d = \(\sqrt{2}+3\sqrt{2}=4\sqrt{2}=\sqrt{32}\)

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