Question

whats the sum of this infinite series:

9/2 - 3/4 + 1/8 - 1/48 + 1/288...

Answer 1

i got 27/7
its the difference of sum of two series {9/2+1/8+...}and{3/4+1/48+....}

Answer 2

the formula is initial value * 1/(1-ratio between precedent and next number)

Answer 3

which is 9/2 * 1/(1- -1/8) right?

Answer 4

yup or in simple terms a/(1-r)
a is 1st term,r is common ratio...
i got r=1/36 for both series.
how 1/8 ??

Answer 5

its 1/6?

Answer 6

ratio=(1/8)/(9/2)=1/36

Answer 7

THANKS U ARE RIGHT

Answer 8

ratio for 2nd series=(1/48)/(3/4)=1/36
so u got final answer?

Answer 9

YES U ARE A GENIUS

Answer 10

nopes,i just practice math :)