Which equation could be used to calculate the sum of the geometric series? 1/4+2/9+4/27+8/81+16/243?

From the given sequence:
1/4, 2/9, 4,27, 8/81, 16/243
the common ratio is: 2/3
thus the sum of the series will be given by the formula:
Sn=[a(1-r^n)]/(1-r)
plugging the values we obtain:

Sn=[1/4(1-(2/3)^n)]/(1-2/3)
thus the equation that will be used to find the sum is:
Sn=3[1/4-1/4(2/3)^n]
=3/4[1-(2/3)^n]

Img()3! : $3! : ! ? : $ sugz

What exactly is your question?