CPM Homework Help : GB8I Problem 6-77

Write an explicit equation for the sequence graphed at right.

Hint 1:

The multiplier for this graph is $\frac{1}{2}$

Hint 2:

Work backward to find term $0$ , or the starting value.

Hint 3:

Use the starting value and the multiplier to write the equation.

Answer:

$t(n)=32\left( \frac{1}{2} \right)^n$

A first quadrant coordinate plane with the x-axis labeled N, the y-axis labeled T of N. The discrete graph includes the points (2, comma 8), (3, comma 4), (4, comma 2).