The indicated sum for the geometric series is 121.5
<h3>How to identify the indicated sum for the
geometric series?</h3>
The series is given as:
162 − 54 + 18 − 6 + .....
Start by calculating the common ratio of the geometric series.
This is calculated using
r = -54/162
Evaluate
r = -1/3
The indicated sum for the geometric series is then calculated as:
S = a(1 - r^n)/1 - r
Substitute the known values in the above equation
S = 162(1 - (-1/3)^7)/1 + 1/3
Evaluate the exponent and the sum
S = 162(1 + 1/2187)/4/3
Evaluate the sum
S = 162(2188/2187)/4/3
Express as products
S = 162 * (2188/2187)* 3/4
Evaluate the product
S = 162 * 547/729
Evaluate the product
S = 121.5
Hence, the indicated sum for the geometric series is 121.5
Read more about geometric series at
brainly.com/question/24643676
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Answer:
in simplest form it is like 3:1;3...
Answer:
62.8% OR 0.628
Step-by-step explanation:
11 hours playing video games
11 hours on the Internet
11 + 11 = 22
5 hours of free time each day
7 days in a week
5 x 7 = 35
22/35 hours are spent
That is 0.62857142857 or I just mathmatically rounded to 0.628
0.628 into a fraction is 62.8%
A. 8.005 • 10² = 800.5 (Incorrect)
B. 8.500 • 10⁻³ = 0.0085 (Incorrect)
C. 8.005 • 10⁻⁴ = 0.000801 (Incorrect)
D. 8.005 • 10⁻³ = 0.008005 (Correct)
Answer: D. 8.005 • 10⁻³