9000063809

Podoblasť: 
Vlastnosti postupností
Časť: 
B
Project ID: 
9000063809
Accepted: 
1
Clonable: 
0
Easy: 
0
Je daná postupnosť \(\left ( \frac{1} {n(n+1)}\right )_{n=1}^{\infty }\). Rekurentné vyjadrenie tejto postupnosti je:
\(a_{n+1} = \frac{n} {n+2}a_{n},\ a_{1} = \frac{1} {2}\)
\(a_{n+1} = \frac{n} {n+1}a_{n},\ a_{1} = \frac{1} {2}\)
\(a_{n+1} = \frac{n+1} {n} a_{n},\ a_{1} = \frac{1} {2}\)
\(a_{n+1} = \frac{n+1} {n+2}a_{n},\ a_{1} = \frac{1} {2}\)