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Sagot :
The value of n when the sum is 30 is equal to 5.
Given the following data:
- Sum, S = 30
To determine the value of n when the sum is 30:
How to calculate the sequence of numbers.
Mathematically, the sum of the first n consecutive even numbers is given by this formula:
[tex]S=n^2+n[/tex]
Where:
- S is the sum.
- n is the consecutive even numbers.
Substituting the given parameters into the formula, we have;
[tex]30=n^2+n\\\\n^2+n-30=0\\\\n^2 +6n-5n-30=0\\\\n(n+6)-5(n+6)=0\\\\(n+6)(n-5)=0[/tex]
n = -6 or 5.
Since, n > 2;
n = 5.
Read more on sequence here: https://brainly.com/question/219301
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