### Home > INT3 > Chapter 8 > Lesson 8.3.4 > Problem8-149

8-149.

Recall that equations representing sequences can be written in the form $t\left(n\right) = mn + b$ or $t\left(n\right) = ab^{n}$. Write an equation for each of the following sequences.

1. $10,2.5,0.625 , \dots$

Is this geometric or arithmetic?

$10=ab^1$

$2.5=ab^2$

$t(n) = 40 \left( \frac{1}{4} \right)^{n}$

1. $- 2 , - 8 , - 14 , \dots$

Is this geometric or arithmetic?