To find the sum of a finite geometric series, we can use the formula:
S = a * (r^n - 1) / (r - 1)
where:
S = sum of the series
a = first term
r = common ratio
n = number of terms
In this case, a = 4, r = 2, and n = 6 (since we are given 6 terms).
Plugging these values into the formula, we get:
S = 4 * (2^6 - 1) / (2 - 1)
S = 4 * (64 - 1) / 1
S = 4 * 63
S = 252
Therefore, the sum of the given finite geometric series is 252.
Evaluate the sum of the following finite geometric series.
4+8+16+32+⋯plus+128
1 answer
3 answers