Question

Convert each arithmetic sequence into a linear function?2, 11, 20, 29,….

Answer 1

Answer:

The linear function is:

$y=9x-7$

Explanation:

Given the sequence 2, 11, 20. 29

The first term is 2

The common difference is 11 - 2 = 9

The nth term is

$\begin{gathered} T_n=2+(n-1)(9) \\ =2+9n-9 \\ T_n=9n-7 \end{gathered}$

The linear function is:

$y=9x-7$