How do you find the sum of the infinite geometric series t1=5 and r = -2?

Question

How do you find the sum of the infinite geometric series t1=5 and r = -2?

1 Answer

Impact of this question

1788 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-09T18:34:44

It diverges till negative infinity and has no sum.

Explanation:

There is a theorem that states that an infinite geometric series of form $\infty \sum n = 1 a r^{n - 1}$ $sum_(n=1)^ooar^(n-1)$ converges to $\frac{a}{1 - r}$ $a/(1-r)$ iff and only if $| r | < 1$ $|r|<1$ .

So in this case, $| r | = | - 2 | = 2 > 1$ $|r|=|-2|=2>1$ hence by this theorem the series does not converge.

Science

Math

Humanities

... and beyond

How do you find the sum of the infinite geometric series t1=5 and r = -2?

1 Answer

Explanation:

Related questions

Impact of this question