Algebra probleem (37)
Probleem
Bereken P(x) als P(x+1) - P(x) = x
Oplossing
f(x) = x
2
.............f(x+1) - f(x) = x
2
+ 2x + 1 - (x
2
) = 2x + 1
g(x) = x+1 ........g(x+1) - g(x) = x+2 - (x+1) = 1
Combineren:
P(x) = (x
2
- (x+1))/2