u-n-is-a-arithmetic-sequence-with-u-0-1-and-u-5-11-1-find-the-value-of-S-n-k-0-n-1-u-k-2-and-lim-n-S-n-2-find-the-value-of-W-n-k-1-n-1-u-k-1-u-k

Question Number 35579 by abdo mathsup 649 cc last updated on 20/May/18

(u_{n}) i s a a r i t h m e t i c s e q u e n c e w i t h u_{0} = 1 a n d

u_{5} = 11

1) f i n d t h e v a l u e o f S_{n} = \sum_{k = 0}^{n} \frac{1}{u_{k}^{2}}

a n d {l i m}_{n \to + \infty} S_{n}

2) f i n d t h e v a l u e o f W_{n} = \sum_{k = 1}^{n} \frac{1}{u_{k - 1} . u_{k + 1}}

a n d {l i m}_{n \to + \infty} W_{n} .