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3 years ago

The sum of the first n consecutive even numbers can be found using S = n2 + n, where n ≥ 2.

Mathematics

2 answers:

riadik2000 [5.3K]3 years ago

7 0

Answer:

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

viktelen [127]3 years ago

3 0

The following are the choices on this question:
A.6
B. 39
C. 26
D. 12
The answer is option D. 12.

Check this out:
S=n² + n
S= 12² + 12
(you can get the square of 12 by multiplying 12 by itself: 12 × 12)
S=144 +12
S=156

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