[Guest]

Fine the infinite sum: 1 + 2/7 + 3/49 + 4/343 + ...

make it geometric

[dms172]

i 'm getting what im supposed to do

5/2401

[Guest]

thats the next number but not the sum of the series.

here is the equation of the series, you can use that to find any term doesn't help much in finding the sum but just for those who don't see the pattern =P

Edited October 6, 2008 by K4D

[Prime]

This has been done recently in here.

[Guest]

This has been done recently in here.

meh missed that that was the same thing lol

but mine is worded nicer

49/36, if you don't understand how to get it from the other post i'll explain if i need to

well here is a different one you can do, little bit different principal =P

but imo it's a bit easier

find the value of

set the equation equal to P, now do you see a place in the equation where you could put P?

Edited October 6, 2008 by K4D

[Guest]

meh missed that that was the same thing lol

but mine is worded nicer

49/36, if you don't understand how to get it from the other post i'll explain if i need to

well here is a different one you can do, little bit different principal =P

but imo it's a bit easier

find the value of

set the equation equal to P, now do you see a place in the equation where you could put P?

p=2/(1+2/(1+2/(1+...)))

p=2/(1+p)

p²+p-2=0

(p+2)(p-1)=0

p=1, because it can't be negative

[Guest]

I would only have to assume that by "sum" he means sum so...

The answer is: 2.

If these were continually added, the answer would come closer and closer to 2. Unless I am mistaken, somewhere along the line it will be .999 repeating, which does in fact equal 1 (then add the +1 from the beginning and you get 2).