(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2n-1

Sigma (3i+1) = n(6n-1)

i=0

prove for all positive n

2. Relevant equations

3. The attempt at a solution

It holds true for n=1

5=5

then P: m+1

2m+1

Sigma(3i+1) = (m+1)(6(m+1)-1) or 6m^2 + 11m + 5

i=0

then 2m+1

Sigma(3i+1) = m(6m-1) + (3(m+1)+1) + (3(m+2)+1) = 6m^2 + 5m + 11

i=0

I just cannot figure this out and it is driving me crazy. Please help clarify things. I even tried changing the first part to

2m

Ʃ(3(i-1)+1)

i=1

and still couldn't prove it.

Thanks for your time

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Proof By induction Sigma notation Please help

**Physics Forums | Science Articles, Homework Help, Discussion**