JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

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

then

S

is equal to

View answer and explanation

Correct option: B

{3^{11}}

The correct answer is B (

3^{11}

) because it is the value of S, calculated by recognizing the given expression as a geometric progression and using the formula for the sum of a GP.

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