I'm so lost with this problem! Please help!!

1/5+1/10+1/20+1/40+...
A- It diverges; it has a sum
B- It diverges; it does not have a sum
C- It converges; it has a sum
D- It converges; it does not have a sum.

I believe that it is answer choice d, not all quite sure though.

So it equals 2/5, i did the math. so it is c correct? Converges with a sum.

it's just a GP, with

a = 1/5
r = 1/2
So,
S = a/(1-r)

s = 1/5(1-1/2)

not quite.

But it does not matter what S is. It exists.

correct on both counts.

Thank you!

it is GP

s=a/(1-r)