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
The value of n is 12.
We have to put down the correct equation that can be used to solve the problem as follows;
S = n^2 + n
We substitute values to create an equation which can be solved as follows;
156 = n^2 + n
In step 3
We solve the equation to obtain;
n = 12 or n= −13
Since we must reject negative values, it follows that the value of n is 12.
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