Exercise 12 Page 711

Explicit equations for the nth term of an arithmetic sequence follow a certain format. a_n= a_1+( n-1) d In this form, a_1 is the first term in the sequence, d is the common difference, and n is the position of the desired term in the sequence. We are given that a_1= - 3 and d= 6, so we can substitute these values to write the equation. a_n= - 3+( n-1) 6 Let's also simplify this equation. To find the value of the 22nd term, we substitute n= 22 into this equation and solve for a_(22). The 22nd term in the sequence is 123.