Answer:
n = 14
Step-by-step explanation:
Given the sum of the first n consecutive even numbers expressed as
S=n^2+n where n ≥ 2.
If S = 210, then;
210 = n² + n
n² + n - 210 = 0
Factorize
n = -1±√1²-4(-210)/2
n = -1±√1+840/2
n = -1±√841/2
n = -1±29/2
n = -1+29/2 and -1-29/2
n = 28/2 and -30/2
n = 14 and -15
Since n ≥ 2, hence the required value of n is 14
