Find the equation of the exponential function represented by the table below:

Question

Find the equation of the exponential function represented by the table below:

X Y

0 2

1 1

2 0.5

3 0.25

Answer 1

The common ratio is 1/2 Each term is 1/2 the previous term

so your equation is y = ar^(n-1) where a is initial value or first term (2) and r is the common ratio (1/2)

Equation is y =2(1/2)^n-1