In an increasing geometric progression of positive terms, the sum of the second and sixth terms is \(\frac{70}{3}\) and the product of the third and fifth terms is 49 . Then the sum of the \({4}^{\text{th }},{6}^{\text{th }}\)and \({8}^{\text{th }}\) terms is equal to :

[JEE Main 2024, 8 Apr (Shift 2)]

Question

In an increasing geometric progression of positive terms, the sum of the second and sixth terms is \(\frac{70}{3}\) and the product of the third and fifth terms is 49 . Then the sum of the \({4}^{\text{th }},{6}^{\text{th }}\)and \({8}^{\text{th }}\) terms is equal to :

[JEE Main 2024, 8 Apr (Shift 2)]

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In an increasing geometric progression of positive terms, the sum of the second and sixth terms is \(\frac{70}{3}\) and …

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