Answer:
The sum of first five term of GP is 19607.
Step-by-step explanation:
We are given the following in the question:
A geometric progression with 7 as the first term and 7 as the common ration.
[tex]a, ar, ar^2,...\\a = 7\\r = 7[/tex]
[tex]7, 7^2, 7^3, 7^4...[/tex]
Sum of n terms in a geometric progression:
[tex]S_n = \displaystyle\frac{a(r^n - 1)}{(r-1)}[/tex]
For sum of five terms, we put n= 5, a = 7, r = 7
[tex]S_5 = \displaystyle\frac{7(7^5 - 1)}{(7-1)}\\\\S_5 = 19607[/tex]
The sum of first five term of GP is 19607.
Verification:
[tex]2801\times 7 = 19607[/tex]
Thus, the sum is equal to product of 2801 and 7.
