Question

44. Find the average of all even numbers from
1 to 42
(A) 22

(B) 24
(C) 28

(D) 26​

Answer 1

Answer:

Step-by-step explanation:

22

Answer 2

The required "option A. 22 is correct".

Step-by-step explanation:

All even numbers from 1 to 42 are

2, 4, 6, 8, ....,42

Here, first term(a) = 2, common difference(d) = 4 - 2 = 2,

n = $\dfrac{42 - 2}{2} + 1 =21$ and last term(l) = 42

$S_{n} = \dfrac{n}{2} (a + l)$

⇒ $S_{21} = \dfrac{21}{2} (2 + 42)$

= $\dfrac{21}{2} (44)$

= 21 × 22 = 462

∴ The average of all even numbers from  1 to 42 = $\dfrac{462}{21}$

= 22.

Hence, the required "option A. 22 is correct".