Use 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, a1, and common ratio, r.
-Find a11 when $\mathrm { a } _ { 1 } = - 5 , \mathrm { r } = - 3$
A) 885,735
B) -35
C) -295,245
D) -295,241

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, $a_{11} = -5 \cdot (-3)^{10}$, which simplifies to $-5 \cdot 59049 = -295,245$.

Use the Formula for the General Term (The Nth Term) a1=−5,r=−3\mathrm { a } _ { 1 } = - 5 , \mathrm { r } = - 3a1​=−5,r=−3

Use the Formula for the General Term (The Nth Term) $\mathrm { a } _ { 1 } = - 5 , \mathrm { r } = - 3$