CPM Homework Help : AC Problem 2-73

Find the common difference for each sequence listed below. Write an expression for the n^th term in each sequence below, keeping in mind that the first term of each sequence is t(0).

$4, 7, 10, 13, …$
Hint (a):
$7 − 4 = 10 − 7 = 13 − 10 = 3$
$m = 3$
More Help (a):
$t\left(n\right) = 3n + t\left(0\right)$
$t\left(0\right) = 4$
Answer (a):
$t\left(n\right) = 3n + 4$

$3, 8, 13, …$
Answer (b):
$m = 5$
$t\left(n\right) = 5n + 3$

$24, 19, 14, …$
Answer (c):
$m = −5$
$t\left(n\right) = −5n + 24$

$7, 9.5, 12, …$
Hint (d):
$9.5 − 7 = 12 − 9.5 = 2.5$
$m = 2.5$
More Help (d):
$t\left(0\right) = 7$
Answer (d):
$t\left(n\right) = 2.5n + 7$