Write an expression for the nth term of the geometric sequence.Then find the indicated term.(Round your answer to three decimal places.) $a _ { 1 } = 900 , r = 1.02 , n = 40$
A) $a _ { n } = 900 ( 1.02 ) ^ { n + 1 }$ , About 1948.270
B) $a _ { n } = ( 1.02 ) ^ { n - 1 }$ , About 1948.270
C) $a _ { n } = 900 ( 1.02 ) ^ { n - 1 }$ , About 1948.270
D) $a _ { n } = 900 ( 1.02 ) ^ { n - 1 }$ , About 1987.236
E) $a _ { n } = ( 1.02 ) ^ { n + 1 }$ , About 1948.270

Question

Write an expression for the nth term of the geometric sequence.Then find the indicated term.(Round your answer to three decimal places.)   $a _ { 1 } = 900 , r = 1.02 , n = 40$  
A) $a _ { n } = 900 ( 1.02 ) ^ { n + 1 }$ , About 1948.270
B) $a _ { n } = ( 1.02 ) ^ { n - 1 }$ , About 1948.270
C) $a _ { n } = 900 ( 1.02 ) ^ { n - 1 }$ , About 1948.270
D) $a _ { n } = 900 ( 1.02 ) ^ { n - 1 }$ , About 1987.236
E) $a _ { n } = ( 1.02 ) ^ { n + 1 }$ , About 1948.270

Quizplus · Accepted Answer

The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{n-1}$, where $a_1$ is the first term, $r$ is the common ratio, and $n$ is the term number. Given $a_1 = 900$ and $r = 1.02$, the correct expression is $a_n = 900 \cdot (1.02)^{n-1}$. Calculating the 40th term using this formula gives a value close to 1948.270 when rounded to three decimal places.

Write an Expression for the Nth Term of the Geometric a1=900,r=1.02,n=40a _ { 1 } = 900 , r = 1.02 , n = 40a1​=900,r=1.02,n=40

Write an Expression for the Nth Term of the Geometric $a _ { 1 } = 900 , r = 1.02 , n = 40$