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vaieri [72.5K]
3 years ago
15

Use a while loop to determine how many terms in the series 3k^2 are required for the sum to surpass 2000

Mathematics
2 answers:
Bumek [7]3 years ago
6 0
Using JAVA:
int sum = 0;       
int k = 1;       
while(sum  <= 2000) {           
sum += 3*k*k;           
 k++;       
 }               
System.out.println(k);

Output: 14

Which means it will take 14 terms for the series to surpass 2000


neonofarm [45]3 years ago
4 0
I am assuming k starts at 0. Python code (or pseudocode) would be this:
-------------------------------
S = 0
count_term = 0
k = 0
while S <= 2000:     S = S + 3*k**2
    count_term = count_term + 1     k = k + 1

print(count_term)
-------------------------------

It will print 14

If k should start at other number then just replace number at third line and execute it.
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The quantity of pounds of pencils that Jason gets, based on his sharing ratio, is <u>0.15 pounds</u>.

<h3>What is the sharing ratio?</h3>

The sharing ratio is the percentage or ratio that is held by a person out of the total value of the thing being shared.

Jason's share of the pencil can be determined by multiplying the total pencils in the box (1.5 x ¹/₂) by Jason's sharing ratio (¹/₅).

<h3>Data and Calculations:</h3>

Quantity of pencils bought = 1.5 pounds

Half of the pencils in a box = 0.75 pounds (1.5 x ¹/₂)

The pounds got by Jason from the box = <u>0.15 </u>(0.75 x ¹/₅)

Thus, the quantity of pounds of pencils that Jason gets is <u>0.15 pounds</u>.

Learn more about sharing ratios and ratios at brainly.com/question/26254916

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