Question

Find the sum of the GP : 

1 + √3 + 3 + 3√3 +….. to 10 terms

Answer 1

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

‘Sn’ represents the sum of the G.P. series up-to n^th terms, ‘a’ represents the first term, ‘r’ 

represents the common ratio and ‘n’ represents the number of terms. 

Here, 

a = 1 

r = (ratio between the n term and n-1 term) √3 ÷ 1 = √3 = 1.732 

n = 10 terms