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

Quizplus · Accepted Answer

The expression for the nth term of a geometric sequence is given by $a_n = a_1 r^{n-1}$. Substituting the given values, we get $a_n = 900(1.02)^{n-1}$. To find the 40th term, we substitute $n = 40$ and round the answer to three decimal places to get about 1948.270. Choice C gives the correct expression and the correct answer.

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 $a _ { 1 } = 900 , r = 1.02 , n = 40$