Home > GB8I > Chapter 9 Unit 10 > Lesson INT1: 9.2.1 > Problem9-51

9-51.

Coryn and Leah are working on homework problems that involve arithmetic sequences. Coryn wrote down $(2, 4)$ and $(3, 5)$ from one sequence, and Leah had $(3, 2)$ and $(0, 3)$ for a different sequence. Write an equation for each sequence.

The second term of Coryn's sequence is $4$ and the third term is $5$.

You need to know how much is being added and the 'zeroth term' in order to write the equation.

$a_{n} = t(n) =n + 2$

Leah's sequence is a little more difficult.
This is the order of her sequence $3, \text{_____}, \text{_____}, 2, ...$

$a_{n} = -\frac{1}{3}n + 3$