The sum of first 20 terms of the sequence

Question:

The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, ......, 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. $\frac{7}{9}\left(99-10^{-20}\right)$


Correct Option: , 3

Solution:

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