Can the sum of an infinite geometric series be negative?

[beautifulcat430]

You are talking about the sum of a infinite series which implies that the series is geometric, since an infinite arithmetic series can never converge. Mind you, the common ratio has to be |r|

[sadfrog723]

Infinite Sum An infinite geometric series is the sum of an infinite geometric sequence. When the ratio has a magnitude greater than 1, the terms in the sequence will get larger and larger, and the if you add larger and larger numbers forever, you will get infinity for an answer.

Similarly, can a geometric sequence have a negative common ratio? Yes, a geometric can have a negative common ratio. These progressions will alternate between negative and positive terms. Take for example, the below sequence. You can also calculate the sum to infinity.

Likewise, people ask, what is the sum of the infinite geometric series represented by?

For example, ∞∑n=110(12)n−1 is an infinite series. The infinity symbol that placed above the sigma notation indicates that the series is infinite. To find the sum of the above infinite geometric series, first check if the sum exists by using the value of r . Here the value of r is 12 .

What does σ mean in math?

Sigma Notation. Σ This symbol (called Sigma) means sum up