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Q. Find the sum of n terms of the sequence.
7, 7.7, 7.77, 7.777, ......

The sum to n terms is given by,Sn = 7 + 7.7 + 7.77 + 7.777 + ........+ upto n terms=7 + 7 + 0.7 + 7 + 0.77 + 7 + 0.777 + .......+ upto n terms=7n + 0.7 + 0.77 + 0.777 + .........+ upto n-1 terms=7n + 790.9 + 0.99 + 0.999 + ..........+upto n-1 terms=7n + 791 - 0.1 + 1 - 0.01 + 1 - 0.001 + .........+ upto n-1 terms=7n + 79n-1 - 1110 + 1100 + 11000 + ........+ upto n-1 terms=7n + 79n - 1 - 1× 110×1 - 0.1n-11 - 1/10=7n + 79n - 1 - 191 - 0.1n-1=7n + 79n - 1 - 19 + 0.1n-19=7n + 799n - 9 - 1 + 0.1n-19=7n + 7819n - 10 + 0.1n-1

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