JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of first 20 terms of

3 \cdot 5+7 \cdot 5^2+11 \cdot 5^3+\ldots

View answer and explanation

Correct option: C

\frac{5}{2}\left(1+39 \cdot 5^{20}\right)

Option C (

\frac{{5}}{{2}}(1 + 39 \cdot 5^{{20}})

) is correct because it represents the sum of the arithmetico-geometric series after applying the appropriate formula and simplifying.

More Questions from SEQUENCE OF SERIES

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A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

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{x^2},{b^2},{y^2}

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\log \left(\frac{a}{3 b}\right)

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\frac{3}{4}