Question

Please Help!! Will Medal!!

Here is an infinite geometric series:

Answer 1

whats the definition of a convergent geometric series, u know?

Answer 2

Not really.

Answer 3

a series converges when the sum of its terms approaches a certain number instead of infinity, if it approached infinity then it is called divergent
so whats the situation with your series, does it approach a number or inifinity?

Answer 4

Infinity I think

Answer 5

you can find out by working out the first 6 or 7 terms if you notice that as i increases the term gets smaller then it will be approaching a ceretain number, but if as i increases the term gets bigger and bigger then it diverges and approaches infinity, wanna give it a try?

Answer 6

even the first 4 terms i=1,2,3,4 should give u here a clear idea ;)

Answer 7

Hmm

Answer 8

notice how as i increases, the term 2(3/5)^i Decreases ... eventually the values of the terms will get so small that they will be approaching Zero for higher i's
so what does this tell yo about the series - is it convergent or divergent?

Answer 9

typo: you instead of yo above

Answer 10

@moemand have u cracked it or not yet?

Answer 11

A. TRUE

Answer 12

That's what I was about to say

Answer 13

well done, as long as you understand the work thats great