Question

TRUE FALSE -> If a sequence {An} converges to 1/2, then ∑ An must diverge.

Answer 1

what do you think?

Answer 2

ISN'T IT TRUE?

Answer 3

actually i'm not too sure..

Answer 4

when n is 'large' then \(a_n\) will be really close to 1/2....so in the end you are essentially adding 1/2 an infinite number of times

Answer 5

so it should be false right? cause sqrt(An) gets close to 0 it's not diverge it's convergent

Answer 6

??

Answer 7

i don't know why this one is too hard for me to understand..

Answer 8

do you agree with what i typed above?

Answer 9

yes i agree with it

Answer 10

what do you get when you add 1/2 an infinite number of times

Answer 11

bigger and bigger value? infinity?

Answer 12

yes...so that means...

Answer 13

oh diverge

Answer 14

hahahaha..

Answer 15

correct

Answer 16

it was clear explanation thank you so much!