Question

which series below converges?
A.2+3+4.5+...
B. 100+80+64+...
C. 1-2+4-...
D. 8+12+18+...

Answer 1

@rishavraj ?

Answer 2

hint, at the very least, the numbers have to be getting smaller

Answer 3

i am confused with the concept of converge like i know it is when infinite sequences of numbers added to 1

Answer 4

converge means you can add them and get a finite number

Answer 5

if the numbers get bigger and bigger, there is no way for it to converge

Answer 6

yeah what does that mean? ex?

Answer 7

you want an example of a sum that converges?

Answer 8

yea

Answer 9

ok how about \[\frac{3}{10}+\frac{3}{100}+\frac{3}{1000}+\frac{3}{10000}+...\]

Answer 10

not only does it converge, but you know what it converges to

Answer 11

no i don't

Answer 12

you do if you write it as a decimal

Answer 13

\[\frac{3}{10}=0.3\\
\frac{3}{100}=0.03\\
\frac{3}{1000}=0.003\] and so on

Answer 14

oh ok

Answer 15

if you add you get \[0.3333...\] which you probably recognize as \(\frac{1}{3}\)

Answer 16

yes i see. if i had how do i get that pattern