Question

What is the average of the first 219 natural numbers?​

Answer 1

Answer:

Thus, 282.5 is an average of positive integers 219 and 346.

Answer 2

Given :

• The average of the first 219 natural numbers .

To find :

• The average

Explaination :

Let us ,

The three consecutive natural numbers be

$\sf \: \red{x, x + 1} \: and \:\red{ x + 2}$

The sum will be 219

According to the given question ,

$\rm \: x + x + 1 + x + 2 = 219$

Now ,

$\rm \: ★ 3x + 3 = 219 \\ \rm ★ 3x = 219 - 3 \\ \rm ★ 3x = 216$

$\rm \: ✠ \: \: \: \: x = \dfrac{216}{3}$

x = 72

∴ 1st natural number → x

✠ 72

∴ 2nd natural number

$\sf = x + 1 \\ \sf = 72 + 1 \\ \sf = 73$

∴ 3rd natural number

$\sf = x + 2 \\ \sf = 72 + 2 \\ \sf = 74$

Answer :

The three consecutive natural numbers are 72, 73 and 74