Home > CCA > Chapter 6 > Lesson 6.1.1 > Problem6-9

6-9.

Find the missing term in each sequence.

1. $n$

$t\left(n\right)$

$1$

$1$

$5$

$–7$

$10$

$–17$

$23$

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 $\left(1, 1\right)$ and $\left(5, −7\right)$. Use these points to find m.

• Use m to calculate $t\left(0\right)$.

• Let $n = 23$ in your equation to find $t\left(23\right)$.

1. $n$

$t\left(n\right)$

$1$

$10$

$2$

$18$

$3$

$32.4$

$4$

• Is this sequence arithmetic or geometric?
Use the pattern in the table to find the 4th term.