Find the sum of the finite geometric sequence. Round to the nearest thousandth.
$$\sum _ { i = 0 } ^ { 6 } 200 ( 1.07 ) ^ { i }$$
A) $1730.804$
B) $1530.804$
C) $1153.308$
D) $1430.658$
E) $1851.961$

Question

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 = 200 $, $ r = 1.07 $, and $ n = 6 $. Plugging these values into the formula gives the sum as approximately 1730.804.

Find the Sum of the Finite Geometric Sequence ∑i=06200(1.07)i\sum _ { i = 0 } ^ { 6 } 200 ( 1.07 ) ^ { i }i=0∑6​200(1.07)i

Find the Sum of the Finite Geometric Sequence $\sum _ { i = 0 } ^ { 6 } 200 ( 1.07 ) ^ { i }$