# Rate and Order of Convergence

1. Mar 26, 2012

### joy1819

1. The problem statement, all variables and given/known data
Give an example of a sequence which converges to 3 with order of convergence 5. Prove your answer.

2. Relevant equations
Order of convergence: {pn} converges to p with order $\alpha$.

limn$\rightarrow\infty$ |pn+1 - p|/|pn-p|$\alpha$ = $\lambda$

3. The attempt at a solution
limn$\rightarrow\infty$| pn+1 - 3|/|pn-3|5 = $\lambda$