Find the sum of first n terms and the sum of first 5 terms of the geometric series 1 + 2/3 + 4/9 +...

Question

TextSum of n Terms of Geometric Progression

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If 1701 is the nth term of the Geometric Progression (G.P.) 7, 21, 63 ……., find:

How many terms of the G.P. 3, 3/2, 3/4, ... are needed to give the sum 3069/512?

Sum of n Terms of Geometric Progression

Find the sum of the sequence 7, 77, 777, 7777, ... to n terms.

0.15, 0.015, 0.0015, ... 20 terms.

√7, √21, 3√7, ... n terms.

1, – a, a2, – a3, ... n terms (if a ≠ – 1).