In this question, we will try to rewrite the given sum of the progression like the formula for the sum a G.P. series.
It is given that Sn = ( 2n – 1)
The formula for the sum of a G.P. series is,
Sn = a\(\frac{r^n -1}{r-1}\)
By solving the 2 equations together, we can say that
By corresponding the numbers with the variables, we can conclude
a = 1
r = 2
The G.P. series will therefore look like ⇒ 1,2,4,8,16,……to n terms
∴ The given progression is a G.P. series with the common ration being 2.
