Math, asked by CHPhani, 1 year ago

2+4+6+8+10+12...........500=

Answers

Answered by Sanskar1404
2
Here, we need to find sum of all Even Numbers upto 500.
The best and easiest method is to form an A.P.

First Term(A) = 2
Last Term(L) = 500
Common Difference(D) = 2(Even Numbers)
No. of terms(N) = 250(Since, there are always equal no. of even and odd numbers)

Now, S(N)= N/2(A+L)

=S(250)= 250/2(2+500)
=250×251

=62,750 ANSWER

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Answered by rishvc289
0
Sn= (n/2)*( a +l )                            Tn= a + (n-1)d
    = (250/2) * (2+500)                  500=  2+2n -2
    = 125 * 502                              500=2n
   = 62 750                                       n= 250 
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