Question

PLEASE HELP, WILL REWARD!
Does the infinite geometric series diverge or converge? Explain.
2+6+18+54+.....

Answer 1

can you find the common ratio "r" of this geometric series ?
if r >1 , the geometric series diverges.
if r < 1, the geometric series converges

Answer 2

Is it r<1?

Answer 3

Do you know if it has a sum or doesn't have a sum?

Answer 4

common ratio is the ratio between the terms,

like 2nd term/ first term = 3rd term/2nd term

here r= 6/2 = 18/6 =.... = 3
and since r = 3
r>1

Answer 5

so the sum diverges and the series does not have sum