Find the indicated term of the sequence.
-The fifteenth term of the arithmetic sequence 26, 22, 18, ...
A)-30
B)-34
C)-56
D)82

Question

Quizplus · Accepted Answer

The common difference in the sequence is -4 (22 - 26 = -4). To find the 15th term, use the formula for the nth term of an arithmetic sequence: $a_n = a_1 + (n - 1)d$, where $a_n$ is the nth term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference. Substituting the given values: $a_{15} = 26 + (15 - 1)(-4) = 26 + 14(-4) = 26 - 56 = -30$.

Find the Indicated Term of the Sequence