Question

how many natural numbers from 1 to 300 have remainder 2 when divided by 6​

Answer 1

Answer:

It's 80 no. Which are divisible by

06 and reminder will be 02

I hope it's helps u... ✌️

Answer 2

The number of  natural numbers from 1 to 300 have remainder 2 when divided by 6​ is 49.

Step-by-step explanation:

Given:

Natural numbers from 1 to 300 have remainder 2 when divided by 6​.

To Find:

The number of  natural numbers from 1 to 300 have remainder 2 when divided by 6​.

Formula Used:

nth term of the Arithmetic Progression (A.P) tn= y+(n-1)z   --- formula no.01.

Where:

y = first term

z =   common difference.

n =  number of the  natural numbers

tn =  nth term of the Arithmetic Progression (A.P)

Solution:

As given-natural numbers from 1 to 300 have remainder 2 when divided by 6​.

The series of natural numbers from 1 to 300 have remainder 2 when divided by 6​ is  8,14,20 ........... 296 which is A.P.(Arithmetic Progression).

First number y= 8

Common difference  z= 6

Last number  tn = 296

Applying formula no.01.

$t_{n} =y+(n-1) z$

$296 =8+(n-1) 6$

$288=6(n-1)$

$(n-1)= 48$

$n=48+1$

$n=49$

Thus,the number of  natural numbers from 1 to 300 have remainder 2 when divided by 6 is 49.

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