Question

For each part of this problem a difference equation and one or more initial values are given. Use difference equation to compute additional terms as specified

(a) If A0 = 10 and An+1 = 4+0.6An, Compute A1, A2 and A3.

Answer 1

Well, let's see . . .

When n=0, A(n) = 10

Also A(0+1) = A(1) = 4 + 0.6(A0)
= 4 + 0.6(10)
= 4 + 6 = 10

When n=1, A(1+1) = A(2) = 4 + 0.6(A1)
= 4 + 0.6(10)
= 4 + 6 = 10

When n=2, A(2+1) = A(3) = 4 + 0.6(A2)
= 4 + 0.6(10)
= 4 + 6 = 10 .

Amazing ! Whoda thunk it ? !

By my calculations ... which are often bullet-proof and air-tight,
but are just as often worthless and absurd ...

A1, A2, A3, and all other higher terms, are all 10 .