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in Geometric Progressions by (15.7k points)

Find the sum of the GP :

√7 + √21 + 3√7 + ..... to n terms

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1 Answer

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Sum of a G.P. series is represented by the formula, Sn = \(a \frac{r^n - 1}{r-1}\), when r>1. 

‘Sn’ represents the sum of the G.P. series up to nth terms, ‘a’ represents the first term, ‘r’ represents the common ratio and ‘n’ represents the number of terms. 

Here,

a = √7

r = (ratio between the n term and n-1 term) √7 \(\div\) √21 = √3

n terms

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