Answer:
n = 84
Explanation:
The sum is given by the formula ...
Sn = a1·(1 -r^n)/(1 -r)
We can fill in the given values and solve for n.
163 = 4(1 -0.98^n)/(1 -0.98)
163·0.02/4 = 1 -0.98^n
0.98^n = 1 -0.815
n·log(0.98) = log(0.185)
n = log(0.185)/log(0.98) ≈ 83.52
A value of n=84 will give a sum greater than 163.
_____
S84 ≈ 163.3545
S83 ≈ 162.6067