Answered

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Determine whether the geometric series is convergent or divergent. 10 ? 4 + 1.6 - 0.64 + ... convergent divergen

Sagot :

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.

To know more about Convergent divergent series click:

brainly.com/question/15415793

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