Question

another question will medal

Answer 1

it converges

Answer 2

1/ 4 + 1/16 + ....

Answer 3

another question (2)

Answer 4

diverges

Answer 5

infinity

Answer 6

are you doing the sequences and series from calc 2 course? all the various tests?

Answer 7

what? @DanJS

Answer 8

what course are you taking?

Answer 9

depends on how to answer it

Answer 10

algebra 2

Answer 11

@DanJS

Answer 12

oh ok

Answer 13

yeah, so how would i answer them? @DanJS

Answer 14

I'm not to sure without using series tests, like the ratio test and so on,
I would just put in a few entries for n=1,2,3,4 and see what each is approaching

Answer 15

obviously if you have a^n in the numerator, the series will go to infinity as n becomes large

Answer 16

okay

Answer 17

The first would be

1/4 + 1/16 + 1/64 + 1/256 + 1/1024 ....1/n

each term adds a smaller and smaller amount, the series converges to a number when n goes off to adding infinite many terms. like the 100th term would be 1/4^100 which is like 0.0000000000000000000000000000000004 something

Answer 18

add up like the first 5 or 6 terms and see what you get, after that each term impacts the sum less and less exponentially.