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
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Answer:
<u>₹4000</u>
Step-by-step explanation:
₹800/10 books
₹80/1 book
<u>(₹80/1 book)*(50) = ₹4000</u>
Answer:
$156
Step-by-step explanation:
To find how many pounds of potatos an amount is, it's valuable to find how much *one* pound is
With just dividing both sides by 30, we can get that one pount of potatos costs $12
Since we want how much 13 pounds we cost, simply multiple 12 by 13 which gives us an amount of $156
Add the two angles and then subtract from 180* to find the missing angle
So,
145* + 15* = 160*
180* - 160* = 20*
Answer: x = 20*
