Question

Determine whether the sequence converges or diverges. If it converges, give the limit.

7, 14, 28, 56, ...

Converges; 49

Converges; 105

Diverges

Converges; 217

Answer 1

@AccessDenied @ajprincess @cwrw238 @heena @TuringTest

Answer 2

converge means the numbers get closer and closer to some fixed number
diverge means each number gets bigger and bigger (either positive or negative)

if you list the next number (multiply 2 times the last number you got), and keep doing that, does that look like converge or diverge?

Answer 3

converge? @phi

Answer 4

what is the next number after
7, 14, 28, 56,

Answer 5

112 @phi

Answer 6

and after 112 ?

Answer 7

224

Answer 8

do you think these numbers are ever going to stop growing?

Answer 9

no

Answer 10

that means *diverge*

Answer 11

ohhhh ok :) thank you!

Answer 12

can i ask you to help me with one last problem?

Answer 13

please post it