### Home > CAAC > Chapter 14 > Lesson 14.2.1.5 > Problem 2-73

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). Homework Help ✎4, 7, 10, 13, …

3, 8, 13, …

24, 19, 14, …

7, 9.5, 12, …

7 − 4 = 10 − 7 = 13 − 10 = 3

*m* = 3

t(*n*) = 3*n* + t(0)

t(0) = 4

t(*n*) = 3*n* + 4

*m* = 5

t(*n*) = 5*n* + 3

*m* = −5

t(*n*) = −5*n* + 24

9.5 − 7 = 12 − 9.5 = 2.5

*m* = 2.5

t(0) = 7

t(*n*) = 2.5*n* + 7