# Math Help - bounded monotone sequence and its limit

1. ## bounded monotone sequence and its limit

Prove that the sequence is monotone and bounded, then find the limit:

S1 = 1 and S(n+1) = 1/4(Sn + 5) for n is an element of N

2. Originally Posted by luckyc1423
Prove that the sequence is monotone and bounded, then find the limit:

S1 = 1 and S(n+1) = 1/4(Sn + 5) for n is an element of N
lim s_{n+1} = lim (1/4)(s_n+5)

s=1/4(s+5)

s=3/5