Question

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 42?

Question 8 options:

7


14


6


3

Answer 1

C. 6

Explanation:

Answer 2

• C. 6

Explanation:

Given

• S = n² + n
• S = 42, n = ?

Substitute and solve for n:

• 42 = n² + n
• n² + 2*1/2n + 1/4 = 42.25
• (n + 0.5)² = 42.25
• n + 0.5 = √42.25
• n + 0.5 = 6.5
• n = 6

Correct option is C