jkw1222p0ttvq
contestada

Does the infinite geometric series diverge or converge? Explain.

2 + 6 + 18 + 54 + …
A. It diverges; it does not have a sum.
B. It converges; it does not have a sum.
C. It diverges; it has a sum.
D. It converges; it has a sum.

Respuesta :

Answer:

A. It diverges; it does not have a sum

Step-by-step explanation:

a geometric series converges if and only if

the common ratio, r, is such that |r| < 1, and

diverges if |r|>=1.

MrRoyal

The true statement about the infinite geometric series is (A). It diverges; it does not have a sum.

The infinite series is given as:

2 + 6 + 18 + 54 + …

The common ratio of the above series is:

r = 3

The common ratio is greater than 1.

This means that, the infinite geometric series diverges and it does not have a sum.

Read more about infinite geometric series at:

https://brainly.com/question/2264290