Find the sum of the series 1×22+2×35×2+3×410×22+4×517×23+→n terms.

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Find the sum of the series {{2}}{{{1}{2}}}+{{5}}{{{2}{3}}}{2}+

Question

Find the sum of the series $\frac{2}{1 \times 2} + \frac{5}{2 \times 3} \times 2 + \frac{10}{3 \times 4} \times 2^{2} + \frac{17}{4 \times 5} \times 2^{3} + \to n$ terms.

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Noah Discussed

Find the sum of the series

\frac{2}{1 \times 2} + \frac{5}{2 \times 3} \times 2 + \frac{10}{3 \times 4} \times 2^{2} + \frac{17}{4 \times 5} \times 2^{3} + \to n

terms.

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Question Text

Find the sum of the series

\frac{2}{1 \times 2} + \frac{5}{2 \times 3} \times 2 + \frac{10}{3 \times 4} \times 2^{2} + \frac{17}{4 \times 5} \times 2^{3} + \to n

terms.