Question

Which geometric series diverges?​

Answer 1

Answer:

Its C!!!!!!!!!!

Step-by-step explanation:

Answer 2

Answer:

1) not diverges

2)not diverges

3) diverges

4)not diverges

Step-by-step explanation:

In geometric series, If the |r|<1 then the series is convergent and if |r|>1 then the series is divergent

Where r is the ratio between the consecutive terms of series.

1) 3/5 + 3/10 +3/20 + 3/40 ......

in the above geometric series

r= (3/10) / (3/5)

 = 1/2

 = 0.5

As |r|= 0.5 < 1, so the series will not diverge

2) -10+4-8/5 + 16/25 -......

in the above geometric series

r= (4) / (-10)

 = -2/5

 = -0.4

As |r|= 0.4 < 1, so the series will not diverge

3) ∑ 2/3(-4)^(n-1)

in the above geometric series

r= -4

As |r|= |-4| = 4 > 1, so the series will diverge

4) ∑ (-12)(1/5)^(n-1)

in the above geometric series

r=1/5

 = 0.2

As |r|= 0.2 < 1, so the series will not diverge !