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Answers
Answer:
60 multiples
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Answer:
60
Step-by-step explanation:
Hey,
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.