Question

Determine the number of terms \( n \) in the geometric series. \[ a_{1}=320, r=\frac{1}{4}, S_{n}=\frac{6825}{16} \] A) 9 B) 7 C) 6 D) 5

          Determine the number of terms \( n \) in the geometric series.
\[
a_{1}=320, r=\frac{1}{4}, S_{n}=\frac{6825}{16}
\]
A) 9
B) 7
C) 6
D) 5

Determine the number of terms n in the geometric series.

a1=320, r=(1)/(4), Sn=(6825)/(16)

A) 9
B) 7
C) 6
D) 5

Added by Deanna F.

Algebra 2

Holliday, Luchin, Cuevas, Carter Marks,… 1st Edition

Chapter 11

Instant Answer

Solved by Expert Joshua Eastwood

04/01/2020

Step 1

Step 1: First, understand the formula for the sum of the first \( n \) terms of a geometric series, which is given by: \[ S_{n} = \frac{a_{1}(1 - r^n)}{1 - r} \] where \( S_{n} \) is the sum of the first \( n \) terms, \( a_{1} \) is the first term, \( r \) is the Show more…

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