Find the number of terms of the finite arithmetic sequence.
-$12,21,30,39 , \ldots , 525$
A) 58
B) 59
C) 60
D) 57

Question

Quizplus · Accepted Answer

The common difference is 9. The first term is 12 and the last term is 525. We can use the formula for the nth term of an arithmetic sequence to find the number of terms:$$a_n = a_1 + (n-1)d$$where $a_n$ is the nth term, $a_1$ is the first term, $d$ is the common difference, and $n$ is the number of terms.Substituting the given values into the formula, we get:$$525 = 12 + (n-1)9$$Solving for $n$, we get:$$n = 59$$Therefore, there are 59 terms in the sequence.

Find the Number of Terms of the Finite Arithmetic Sequence 12,21,30,39,…,52512,21,30,39 , \ldots , 52512,21,30,39,…,525

Find the Number of Terms of the Finite Arithmetic Sequence $12,21,30,39 , \ldots , 525$