Find the indicated term of the sequence.
-The tenth term of the arithmetic sequence 7 , 4 , 1 , ...
A)-20
B)-23
C)34
D)37

Question

Quizplus · Accepted Answer

The common difference in the sequence is -3 (4 - 7 = -3, 1 - 4 = -3). To find the 10th 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: $a_{10} = 7 + (10 - 1)(-3) = 7 - 27 = -20$.

Find the Indicated Term of the Sequence