Math, asked by Goddmoright, 9 months ago

Multiple of 4 between 10 and 250
AP

Answers

Answered by nikshay456
4

Refer to the attachment mate

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Answered by Anonymous
0

The answer is 60.

Method 1: To arrive at the answer, we can either list down all the multiples of 4 between 10 and 250 and count them. This however is a little time consuming. So, lets move onto the other alternatives.

Method 2: First let us find the number of multiples of 4 between 1 and 10 which would be  10/4=2.5  

Number of multiples of 4 between 1 and 250 = 250/4=62.5  

So, the number of multiples of 4 between 10 and 250 would be

(Number of multiples of 4 between 1 and 250) - (Number of multiples of 4 between 1 and 10)

62.5−2.5=60  

Method 3: We need to find the number of multiples of 4 between 10 and 250.

The list of numbers would be as follows:

12,16,20,24,28,32,36,40,........248.  

The above list is an arithmetic series/arithmetic progression where the first number is 12, the last number is 248 and the common difference between the numbers is 4.

The nth term in an arithmetic sequence = a + (n-1)*d where a is the first term, d is the common difference.

In the arithmetic series above, a =12, d = 4 and let us assume there are n terms and we need to find the value of n. We know that the value of the last term i.e. nth term is 248.

So,  248=12+(n−1)∗4  

248=12+4n−4  

248=4n+8  

248–8=4n  

240=4n  

n=240/4=60  

Thus, 248 is the 60th term in the series and hence there are 60 terms in the series.

Therefore number of multiples of 4 between 10 and 250 is 60.

Hope this helps.

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