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 156?

Value of n when sum is 156 is 12

Step-by-step explanation:

Given: function to find sum of first n consecutive even numbers, S = n² + n where n ≥ 2

To find: value of n when Sum = 156

Consider, the function

S = n² + n

156 = n² + n

n² + n - 156 = 0

n² + 13n - 12n - 156 = 0

n ( n + 13 ) - 12 ( n + 13 ) = 0

( n + 13 )( n - 12 ) = 0

So, n + 13 = 0    nd     n - 12 = 0

⇒ n = -13    and  n = 12

n cannot be less than 2, So, value of n = 12

Therefore, Value of n when sum is 156 is 12

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