### Home > INT1 > Chapter Ch5 > Lesson 5.2.2 > Problem 5-68

5-68.

Determine the common difference (sequence generator) for each arithmetic sequence listed below. Then write an equation for the

*n*^{th}term in each sequence, keeping in mind that the first term of each sequence is*t*(1). Homework Help ✎4, 7, 10, 13, …

3, 8, 13, …

24, 19, 14, …

7, 9.5, 12, …

*m* = 3

7 − 4 = 10 − 7 = 13 − 10 = 3

*t*(*n*) = 3*n* + *t*(0)*t*(1) = 3(1) + *t*(0) = 4

3 + *t*(0) = 4

*t*(0) = 1

*t*(*n*) = 3*n* + 1

*m* = 5

*t*(*n*) = 5*n* − 2

*t*(*n*) = −5*n* + 29

*m* = −5

9.5 − 7 = 12 − 9.5 = 2.5

*m* = 2.5

*t*(0) = 4.5

*t*(*n*) = 2.5*n* + 4.5