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.
-$$\text { Find } a _ { 10 } \text { when } a _ { 1 } = 2 , r = 2$$
A) 1024
B) 1028
C) 20
D) 2048

Question

Quizplus · Accepted Answer

The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{(n-1)}$. Substituting $a_1 = 2$, $r = 2$, and $n = 10$, we get $a_{10} = 2 \cdot 2^{(10-1)} = 2 \cdot 2^9 = 2 \cdot 512 = 1024$.

Use the Formula for the General Term (The Nth Term) Find a10 when a1=2,r=2\text { Find } a _ { 10 } \text { when } a _ { 1 } = 2 , r = 2 Find a10​ when a1​=2,r=2

Use the Formula for the General Term (The Nth Term) $\text { Find } a _ { 10 } \text { when } a _ { 1 } = 2 , r = 2$