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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23/96 = 24%
41/72 = 57%
40/78 = 51%
24/62 = 39%
park b has the greatest percentage with 41 blue birds out of 72 birds which equals 57%
Answer:
pls let me know if u got it
Step-by-step explanation:
1. x=6
2. x=4
3. x=3.5
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Answer:
So then Mark purchased 12 Hamburgers and 6 packages of buns
Step-by-step explanation:
For this case we can define the following notation:
B represent the number of packages buns
H represent the number of hamburgers
And from the information given we can set up the conditions into the following equations:
(1) represent the total cost
(2) represent the total number of items
Solving H from equation (2) we got:
(3)
And replacing equation (3) into equation (1) we got:
And dsitributing the terms we have:
And solving for B we got:
And dividing by 5.25 we got:
And replacing the value of B into equation (3) we got:
So then Mark purchased 12 Hamburgers and 6 packages of buns
