JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of the first 10 terms of

1 \cdot x + 4 \cdot {x^2} + 7 \cdot {x^3} + .....

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Correct option: D

\frac{28 x^{11}-31 x^{10}+2 x+1}{(x-1)^2}

Option D (

\frac{{28x^{{11}} - 31x^{{10}} + 2x + 1}}{{(x-1)^2}}

) 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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\frac{3}{4}