Even Number{सम संख्या}

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Such a natural number which is completely divisible by two (2) is called an even number.
For example :- 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 ............ ∞

• The smallest even number is " 2 ".
• The largest even number is "∞ ".
• The number which has any digit out of 0, 2, 4, 6, 8 at the unit place, then that number is called an even number. 


 Sum of first n even numbers = n( n + 1)
2 + 4 + 6 + 8 + 10 + 12 +14 + 16 = ?
Sum = n( n + 1)
        = 8 (8 + 1)
        = 72 

• 
Sum of all consecutive even numbers up to n = n/2(n/2 + 1)
  Find all consecutive sum numbers up to 16
Solution:-
  n = 16
Sum = n/2 (n/2 + 1)
       = 16/2(16/2 + 1)
       = 8 (9)
       = 72