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zavuch27 [327]
3 years ago
12

Evaluate the infinite sum

Mathematics
2 answers:
mote1985 [20]3 years ago
8 0

Answer:

It does not converge.

Step-by-step explanation:

Given is an infinite geometric series whose first term is a = 4/7 and common ratio is r = 7/6.

The series ∑a·rⁿ converges if we have |r| < 1.

And the series ∑a·rⁿ diverges if we have |r| > 1.

But we can easily check that |r| = 7/6 > 1.

It means the given series diverges, i.e. does not converge.

Hence, option D is correct answer, i.e. It does not converge.

Effectus [21]3 years ago
6 0

The sum does not converge because \dfrac76>1.

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