Find the sum of the finite geometric sequence.(Round your answer to three decimal places.) $\sum _ { n = 0 } ^ { 6 } 900 ( 1.04 ) ^ { n }$
A)999.405
B)5,969.678
C)7,108.465
D)4,874.690
E)1,021.735

Question

Find the sum of the finite geometric sequence.(Round your answer to three decimal places.)   $\sum _ { n = 0 } ^ { 6 } 900 ( 1.04 ) ^ { n }$  
A)999.405
B)5,969.678
C)7,108.465
D)4,874.690
E)1,021.735

Quizplus · Accepted Answer

The sum of a finite geometric sequence can be calculated using the formula $ S_n = a \frac{(r^{n+1} - 1)}{r - 1} $, where $ a $ is the first term, $ r $ is the common ratio, and $ n $ is the number of terms. Here, $ a = 900 $, $ r = 1.04 $, and $ n = 6 $. Plugging these values into the formula gives the sum as approximately 7,108.465.

Find the Sum of the Finite Geometric Sequence ∑n=06900(1.04)n\sum _ { n = 0 } ^ { 6 } 900 ( 1.04 ) ^ { n }∑n=06​900(1.04)n

Find the Sum of the Finite Geometric Sequence $\sum _ { n = 0 } ^ { 6 } 900 ( 1.04 ) ^ { n }$