Question

Evaluate the series 50 + 10 + 2 + . . .

Answer 1

I'm confused as to what "Evaluate" actually means.

Answer choices:

A) 62
B) 1/5
C) The series diverges; it does not have a sum
D) 62.5

Answer 2

you divide by 5 every time.
you start from 50

so you can write it as

\(\large\color{black}{ \displaystyle \sum_{ n=0 }^{ \infty } ~ \dfrac{50}{5^n}}\)

Answer 3

this series definitely converges, will you give me that?

Answer 4

Yeah

Answer 5

you can find the exact sum because it is geometric...

Answer 6

\(\Large\displaystyle\sum_{ n=0 }^{ \infty } ~ 50(1/5)^n=\frac{50}{1-\frac{1}{5}}=?\)

Answer 7

we would get 125/2 or 62.5. Thanks.

Is there any place where i could get a quick refresher on Geometric and arithmetic series?

Answer 8

That is correct