Question

how many numbers from 1001 to 2000 divisible by 4

Answer 1

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Answer 2

Answer:

Total number of terms from 1001 to 2000 divisible by 4 is 250.

Step-by-step explanation:

Given : Numbers from 1001 to 2000 divisible by 4.

To find : How many numbers are there?

Solution :

Smallest number from 1001 divisible by 4 = 1004

Largest number below 2000 divisible by 4 = 2000

The situation is forming an arithmetic progression,

Where, First term is a=1004

Common difference is d=4

nth term is $a_n=2000$

The formula of nth term is $a_n= a_1 + (n - 1)d$

Substituting the values in the formula,

$2000 = 1004 + (n - 1)4$

$2000 = 1004 + 4n - 4$

$n=250$

Therefore, Total number of terms from 1001 to 2000 divisible by 4 is 250.