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.
-$$a _ { n } = \left( \frac { 3 } { 2 } \right) ^ { n }$$
A) geometric, $r = \frac { 3 } { 2 }$
B) arithmetic, $\mathrm { d } = \frac { 3 } { 2 }$
C) geometric, $r = \frac { 2 } { 3 }$
D) neither

Question

Quizplus · Accepted Answer

The given formula for the nth term of the sequence is of the form $$a_n = a_1 \times r^{n-1}$$, which is the formula for a geometric sequence. In this case, the first term $$a_1 = \frac{3}{2}$$ and the common ratio $$r = \frac{3}{2}$$. Therefore, the given sequence is a geometric sequence with common ratio $$r=\frac{3}{2}$$.

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 $\mathbf { a } _ { 1 }$