Answer :
The series in question converges.
Convergent divergent series: what are they?
If a series converges to a value as its terms approach to infinity, it is said to be convergent. If a series does not converge to a value but instead keeps on rising or dropping as the terms of the series go to infinity, it is said to be divergent.
The geometric sequence is as follows:
10 - 4 + 1.6 - 0.64 +...
If the common ratio of the series is between -1 and 1, then a geometric progression will be convergent.
The common ratio in this case is
r = -4/10
r = -0.4, or -1 -0.4 1.
The presented series is hence convergent.
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