SOLUTION: Consider the recursive sequence. a1=3, a2=5, an = 1/2(an-1+an-2) Find a3, a4, and a5.

Algebra ->  Sequences-and-series -> SOLUTION: Consider the recursive sequence. a1=3, a2=5, an = 1/2(an-1+an-2) Find a3, a4, and a5.      Log On


   

Question 633219: Consider the recursive sequence. a1=3, a2=5, an = 1/2(an-1+an-2)
Find a3, a4, and a5.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 {3, 5, 4, 9/2, 17/4, 35/8,...} 

a%5Bn%5D n > 2 is found by taking half of the sum of the two previous terms.

an = 1/2(an-1+an-2)