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

Quizplus · Accepted Answer

We need to use the formula for the sum of a finite geometric sequence, which is:
S = a(1 - r^n) / (1 - r)
where a is the first term, r is the common ratio, and n is the number of terms.
In this case, we have:
a = 10
r = 1.06
n = 6
Plugging in these values, we get:
S = 10(1 - 1.06^6) / (1 - 1.06)
S ≈ 7,108.465
Therefore, the answer is choice C.

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

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