Sum of even numbers between 0 to50

Asked by Guriqbal Singh | 14th Dec, 2013, 05:27: PM

Expert Answer:

Even numbers between 0 and 50 are:
2, 4, 6, ... 48
This is an AP.
First term, a = 2 and common difference, d = 2
Let n be the number of terms.
Then, an = 48 = a + (n-1)d
2 + (n-1)2 = 48
1 + n - 1 = 24
n = 24
 
Now, Sum of all these terms = n/2 (a + l) = 24/2 (2 + 48) = 12 x 50 = 600

Answered by  | 14th Dec, 2013, 05:39: PM

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