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The average of first 101 even numbers is
Question

The average of first 101 even numbers is

A.

102

B.

103

C.

102.5

D.

101.5

Correct option is A

Given:

Average of first 101 even numbers is

Formula Used:

Average = First term+Last term2\frac{\text{First term} + \text{Last term}}{2}​​

Solution:

First even number = 2

101th even number = 2 × 101 = 202

Average = 2+2022=2042=102\frac{2 + 202}{2} = \frac{204}{2} = 102  

Alternate Solution:
Average of first n even numbers = (n + 1)
Total even numbers (n) = 101
=> Average = n + 1 = 101 + 1 = 102

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