### Home > CCA > Chapter Ch6 > Lesson 6.1.1 > Problem 6-9

6-9.

Find the missing term in each sequence. Homework Help ✎

*n**t*(*n*)1

1

5

–7

10

–17

23

Hint: This is an arithmetic sequence.

Notice that the table skips many of the terms. An equation of the form

*t*(*n*) =*mn*+*t*(0) needs to be written.Think of the sequence as a function with the points (1, 1) and (5, −7). Use these points to find

*m*.Use

*m*to calculate*t*(0).Write your equation.

Let

*n*= 23 in your equation to find*t*(23).

*n**t*(*n*)1

10

2

18

3

32.4

4

Is this sequence arithmetic or geometric?

Use the pattern in the table to find the 4th term.