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.
-Find a 11 when $a _ { 1 } = 2 , r = 3$.
A) 118,098
B) 354,294
C) 118,102
D) 32

Question

Quizplus · Accepted Answer

The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{(n-1)}$. Plugging in the given values, we get $a_{11} = 2 \cdot 3^{(11-1)} = 2 \cdot 3^{10} = 2 \cdot 59049 = 118098$.

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 $\mathbf { a } _ { 1 }$