Question

Determine whether the sequence converges or diverges. If it converges, give the limit.

7, 14, 28, 56, ...

Converges; 49
Converges; 105
Diverges
Converges; 217

Answer 1

Do you know how to find the common ratio, r?

Answer 2

no

Answer 3

r = (2nd #)/(1st #)

Answer 4

so it would be 98?

Answer 5

Then after you have r:
If |r| > 1, the series diverges
If 0<|r|<1, the series converges to
\[S_n=\frac{ a_1 }{ 1-r }\]

Answer 6

r = 14/7 = 2

Answer 7

ohhh divide not multiply ok i get it, so it diverges?

Answer 8

yes

Answer 9

thank you!

Answer 10

you're welcome