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The average of first 124 even numbers is
Question

The average of first 124 even numbers is

A.

126

B.

125

C.

124.5

D.

125.5

Correct option is B

Given:

We need to find the average of the first 124 even numbers.

Formula Used:
The average of an arithmetic sequence can be calculated as:

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

Solution:

The first even number is 2, the second even number is 4, and so on. The n-th even number is given by:

Even number = 2n

So, the first 124 even numbers are:

2, 4, 6,,2×124=248, \ldots, 2 \times 124 = 248

First term = 2

Last term = 248

Thus, the average is:

Average =2+2482=2502 \frac{2 + 248}{2} = \frac{250}{2}​ = 125
The average of the first 124 even numbers is 125.

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