Question

Write an explicit formula for the sequence 4,-8, 16,-32

Answer 1

f(x)=f(4)-
`2^(x-1)`

Explanation:

The rate of change can be found out by dividing -8 by 4, 16 by -8, or -32 by 16.

The rate of change is -2

To find f(1), I will find the first value in the sequence, which is 4.

Apply these values to the explicit formula:

• f(x)=f(1)
  `r^(x-1)`