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

Given: U0=2 and :

(U)n+1=(Un^2+Un)/(1+Un)

2. Relevant equations

prove that for every n in N : Un>1

3. The attempt at a solution

ok for n=0 i got Un+1=2 and 2>1 therefore for n=0 its true.

now we assume its true for U=0 and we want to show that Un+1>Un

((Un+1)^2+Un+1)/(1+(Un+1)^2) > Un

am i correct so far?

**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: Proving a Series by induction

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