Even numbers are 2,4,6,8,10,….
Now we will see the sum of elements:
Sum of first 2 even numbers: 2+4= 6= 2(2+1)
Sum of first 3 even numbers: 2+4+6= 12= 3(3+1)
Sum of first 4 even  numbers: 2+4+6+8=20= 4(4+1)
Sum of first 5 even numbers: 2+4+6+8+10 = 30 = 5(5+1)
Sum of first n even numbers: 2+4+6+8+10+. . . . .  n numbers= n(n+1)
since sum of first 25 even numbers are :  2+4+6+8+10+. . . . .  25 numbers
                                                                = 25(25+1)
                                                                =25x26
                                                                =650
sum of first 25 even numbers is 650
see also:sum of first 50 odd numbers
can you explain why next time.
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