Question

In an infinite geometric sequence, what is the sum in this pattern? 8+4+2+1+...

Answer 1

Well, 1+.5+.25+... = 2
So 8+4+2+2

Answer 2

sorry i dont get it but thanks for trying to help!

Answer 3

\(\frac{4}{8}=\frac{1}{2}\) so you have a geometric series with \(r=\frac{1}{2}\)
the general formula is
\[\frac{a}{1-r}\] where \(a\) is the first term
in your example \(a=8\)

Answer 4

you can do this in your head
what is one minus one half?

Answer 5

0.5

Answer 6

oh omg

Answer 7

thanks LOL i wasn't thinking......

Answer 8

wait you are not done
one minus one half is one half
what is the reciprocal of one half?

Answer 9

2?

Answer 10

i already got the answer by dividing 8/0.5 though