Question

Does the following infinite geometric series diverge or converge? Explain. 6 + 24 + 96 + 384 + . . .

Answer 1

diverge!!!!!!!!

Explanation:

Answer 2

Diverge

Explanation:

6 + 24 + 96 + 384 + . . .

6* 4= 24

24* 4= 96

common ratio is 4

the formula for nth term is

`a_n = a_1(r)^(n-1)`

a_1 is the first term and r is the common ratio

`a_n = 6(4)^(n-1)`

If common ratio (r) is between 0 and 1 then series is converging

if common ratio (r) is greater than 1 then series is diverging

We know common ratio r= 4

4 > 1 so series is diverging