Write a recursive formula for each sequence. Use U0 for the first term given...
0, 20, 36, 48.8,....
2006-09-24 07:57:42 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
U(n) = 20+0.8*U(n-1), U0 = 0; also can be written U(n+1) = 20+.8*U(n)
Since the first term is zero, the formula must contain an additive 20. The first try for the recusive part is k*U(n-1), since it appears that the series grows slowly. Plug in 36 = 20 +k*20, gives k = .8. Since that gives the correct result for the fourth term (48.8), this must be the recurstive formula.
2006-09-24 08:26:39 · answer #1 · answered by gp4rts 7 · 0⤊ 0⤋
I already answered this question once. If you can't be bothered to read the answers to the questions you ask, please refrain from asking them.
2006-09-24 15:14:30 · answer #2 · answered by Pascal 7 · 0⤊ 0⤋