Write an expression for the nth term of the geometric sequence.Then find the indicated term.(Round your answer to three decimal places.) $a _ { 1 } = 2500 , r = 1.005 , n = 60$
A) $a _ { n } = ( 1.005 ) ^ { n - 1 }$ , About 3355.349
B) $a _ { n } = 2500 ( 1.005 ) ^ { n - 1 }$ , About 3355.349
C) $a _ { n } = 2500 ( 1.005 ) ^ { n - 1 }$ , About 5520.099
D) $a _ { n } = ( 1.005 ) ^ { n + 1 }$ , About 3355.349
E) $a _ { n } = 2500 ( 1.005 ) ^ { n + 1 }$ , About 3355.349

Question

Write an expression for the nth term of the geometric sequence.Then find the indicated term.(Round your answer to three decimal places.)   $a _ { 1 } = 2500 , r = 1.005 , n = 60$  
A) $a _ { n } = ( 1.005 ) ^ { n - 1 }$ , About 3355.349
B) $a _ { n } = 2500 ( 1.005 ) ^ { n - 1 }$ , About 3355.349
C) $a _ { n } = 2500 ( 1.005 ) ^ { n - 1 }$ , About 5520.099
D) $a _ { n } = ( 1.005 ) ^ { n + 1 }$ , About 3355.349
E) $a _ { n } = 2500 ( 1.005 ) ^ { n + 1 }$ , About 3355.349

Quizplus · Accepted Answer

The nth term of a geometric sequence is given by $a_n = a_1 \cdot r^{(n-1)}$, where $a_1$ is the first term and $r$ is the common ratio. For $a_1 = 2500$ and $r = 1.005$, the expression is $a_n = 2500 \cdot (1.005)^{n-1}$. Calculating the 60th term using this formula gives approximately 3355.349.

Write an Expression for the Nth Term of the Geometric a1=2500,r=1.005,n=60a _ { 1 } = 2500 , r = 1.005 , n = 60a1​=2500,r=1.005,n=60

Write an Expression for the Nth Term of the Geometric $a _ { 1 } = 2500 , r = 1.005 , n = 60$