Study Guide and Review
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Use the formula for the nth term of an arithmetic sequence.
a_(14)= 48
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= 9 and d= 3, so we can substitute these values to write the equation.
To find the value of the 14th term, we substitute n= 14 into this equation and solve for a_(14).
The 14th term in the sequence is 48.