Question

Pablo generates the function f(x)=3/2(5/2)exp x-1 to determine the xth number in a sequence. Which is an equivalent representation? a) f(x=1)=5/2f(x) b) f(x)=5/2f(x=1) c) f(x=1)=3/2f(x) d) f(x)=3/2f(x=1)

Answer 1

f(x + 1) = Five-halvesf(x)

Explanation:

Pablo generates the function f (x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence and the formula is f(x + 1) = Five-halvesf(x)

Answer 2

Assuming the function is
`f(x)=\frac32\left(\frac52\right)^(x-1)`, you can define an equivalent recursive function as


`f(x)=\frac32\left(\frac52\right)^(x-1)=\frac32*\frac52\left(\frac52\right)^(x-2)=\frac52f(x-1)`