jee-main 2013 Q66

jee-main · India · 07apr Arithmetic Sequences and Series Telescoping or Non-Standard Summation Involving an AP

The sum of first 20 terms of the sequence $0.7, 0.77, 0.777, \ldots\ldots$, is:
(1) $\frac{7}{81}\left(179 + 10^{-20}\right)$
(2) $\frac{7}{9}\left(99 + 10^{-20}\right)$
(3) $\frac{7}{81}\left(179 - 10^{-20}\right)$
(4) $\frac{7}{9}\left(99 - 10^{-20}\right)$

The sum of first 20 terms of the sequence $0.7, 0.77, 0.777, \ldots\ldots$, is:\\
(1) $\frac{7}{81}\left(179 + 10^{-20}\right)$\\
(2) $\frac{7}{9}\left(99 + 10^{-20}\right)$\\
(3) $\frac{7}{81}\left(179 - 10^{-20}\right)$\\
(4) $\frac{7}{9}\left(99 - 10^{-20}\right)$

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