Use the Formula for the General Term of a Geometric SequenceUse the formula for the general term (the nth term)of a geometric sequence to find the indicated term of the
sequence with the given first term, $$\mathbf { a } _ { 1 }$$ , and common ratio, r.
-$$a _ { n } = 5 n - 3$$
A) arithmetic, $d = 5$
B) geometric, $r = 5$
C) arithmetic, $\mathrm { d } = - 3$
D) neither

Question

Quizplus · Accepted Answer

The formula for the general term of a geometric sequence is $a_n = a_1 \cdot r^{n-1}$, where $a_1$ is the first term and $r$ is the common ratio. In this case, $a_1 = 5$ and $r = 5$, so the general term is $a_n = 5 \cdot 5^{n-1} = 5n - 3$. Therefore, the sequence is geometric with common ratio $r = 5$.

Use the Formula for the General Term of a Geometric a1\mathbf { a } _ { 1 }a1​

Use the Formula for the General Term of a Geometric $\mathbf { a } _ { 1 }$