The average of first 172 even numbers is​

Correct option is D

Given:

First 172 even numbers

Find their average.

Formula Used:

For an AP,

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

Solution:

First even number = 2

n^th even number = 2n

So, 172^nd even number:

= 2 × 172 = 344

Average:

= $$\frac{2 + 344}{2} = \frac{346}{2}$$​ = 173

Alternate Solution:

For consecutive even numbers, the average equals the middle term.

Since there are 172 terms (even count), average is:

$$\frac{172}{2}$$​ + 1 = 86 + 1 = 87th even number

87th even number = 2 × 87 = 173