JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

2^{10}+2^{9} \cdot 3^{1}+2^{8} \cdot 3^{2}+\ldots+2 \times 3^{9}+3^{10}=S-2^{11}

then

\mathrm{S}

is equal to:

View answer and explanation

Correct option: B

3^{11}

Option B (

3^{11}

) is correct because the given series is a G.P., and by applying the G.P. sum formula and rearranging, we find S =

3^{11}

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