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How Many Multiples of 4 Lies Between 10 and 250- Using Nth term formula of Arithmetic SequencesItsMyAcademy.com

How Many Multiples of 4 Lies Between 10 and 250- Using Nth term formula of Arithmetic Sequences

How Many Multiples of 4 Lies Between 10 and 250- Using Nth term formula of Arithmetic Sequences


In previous video lesson we learned to solve the arithmetic relationships and find the first terms of arithmetic progressions.
Now in this video lesson we are going to find the total numbers of Multiples of any number like 4, 5 or any that lie between certain two numbers.
Like finding the total multiples of 9 between 100 to 100, total multiples of 7 between 45 to 445 etc.
These all problems we have to solve by using the arithmetic progression and specially the nth term of the Arithmetic progression.
So lets start our video lesson !





How was it dear.

Steps
Well in this type of problems we need to make an Arithmetic progression first.
• Find the first term divisible by 4 between 10 to 250 i.e. 12.
• Find the last term divisible by 4 just below 250 by dividing 250 and subtract the numerator from 250 i.e. 248.
• Write the Arithmetic progression.
• Suppose the 248 as nth term . I mean apply nth term formula of arithmetic progression on 248. You know the common difference that is 4 itself.
• Solve and get the value of “n” This n gives the total number of term in the A.P. that is all the 4 multiples between 10 and 250 you will get 60.
I hope now you understand how to find the multiples of any number using the nth term formula of an arithmetic progression.
Here I have listed some exercises for Arithmetic Progression problems based on nth term just like above . Please try to solve them. If you feel any problem then please comment or mail me.
Q1. How many multiples of 9 lie between 80 and 800?
Q2. How many two digit number are divisible by 3? (Ans- 30)
Q3. How many two digit number are divisible by 7? (Ans- 13)
Q4. Find the number of integers between 50 and 500 which are divisible by 7 ? (Ans – 64)

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