Math, asked by anamika7946, 1 year ago

Find the sum of all even no. between 101 and 999

Answers

Answered by Anonymous
8
HEY THERE!!

Question;

Find the sum of all even no. between 101 and 999?

Method of Solution;-

All even number between 101 and 999 which are Given below in the form of Arithmetic Sequence or Progression.

102+104+106+......+998

Here,

First term (a) = 102

Common difference (d) = 104 - 102 = 2

•°• Common difference (d) = 2

Last term = 998

Now, Using Formula of Tn

•°• Tn = a+(n-1)d

998 = 102 +(n-1)2

998 = 102 +2n -2

998 = 100+2n

998-100 = 2n

898 = 2n

•°• n = 898/2

=> 449

Hence, n = 449

According to the Question;

Required Summation = n/2(a+l)

=> 449/2(102+998)

=> 449/2(1100)

=> 449 × 550

=>246,950

Hence,

the sum of all even no. between 101 and 999 = 246,950

komal2004: Happy Bhai dooj
Anonymous: :)
komal2004: ^_^
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