The required sum of the geometric series = 21.25
sum of the first 8 terms of the geometric series: 32 -16 +8 -4...
Geometric progression is sequence of series whose ratio with adjacent values remains same.
We GP is 32 -16 +8 -4...
where a = 32 (first term) ; r (common ratio) = -1/2
the sum for the 8th term
s = a(r^n-1)/r-1
s = 32((-1/2)^8-1)/ (-1/2-1)
s = 32(-1255/256) / -3/2
s = 21.25
Thus required sum of the geometric series = 21.25
Learn more about geometric progression here:
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