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