Originally Posted by

**thunderhockey48** the question is:

Show that if

(a(sub 0)/1) + (a(sub 1)/2) +... (a(sub n)/n+1) = 0

$\displaystyle a_0 /1 + a_1/2 +a_n/(n+1) = 0 $

then

a(sub 0) + a(sub 1)*x +... a(sub n)*(x^n) = 0

$\displaystyle a_0 + x a_1 +.... x^n a_n = 0 $

for some x in the interval [0,1]

I have not leaned anything about infinite series, so the solution doesnt pertain to that. I am guessing it has something to do with Sigma notation, and i can transfer the given equations to Sigma notation, but i have no idea where to go from there.

This is my guess at what it is saying in Sigma Notation, but I am not very good with it so I may be wrong

show that if

$\displaystyle \sum_{k=1}^{n}\,\,\frac{a_k}{k+1} =0 $

then

$\displaystyle \sum_{k=1}^{n} a_k x^k =0 $

for some x in [0,1]

I need help ASAP! thank you