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The sum of the first n consecutive even numbers can be found using S = n2 + n, where n > 2. What is the value of n when the sum is 30?
A. 5
B. -6
C. -5
D. 6

User Genna
by
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1 Answer

9 votes

Answer:

A. n = 5

Explanation:

S = n² + n

When S = 30:

n² + n = 30

Subtract 30 from both sides: n² + n - 30 = 0

Factorize: (n - 5)(n + 6) = 0

Therefore n = 5 or -6

As n > 2, then n = 5 only

User Ashish Mehta
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