Question

How many multiples of 4 lie between 12 and 75.

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Answer 1

Answer:

15 multiples of 4 lie between 15 and 75

Step-by-step explanation:

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Answer 2

Given,

The multiples of 4 lie between 12 and 75.

To find,

The total number of multiples.

Solution,

The total number of multiples of 4 between 12 and 75 will be 15.

According to the question,

The multiples of 4 lie between 12 and 75.

So, we have:

16, 20, 24, ---, 72

Now, this series is an AP because the difference between the two terms is common.

The first term = 16

The last term (an) = 72

Common difference (d) = second term - first term

Common difference (d) = second term - first termd = 20-16

d = 4

We know that the following formula is used to find the nth term of an AP:

an = a+(n-1)d

72 = 16+(n-1)4

16+4n-4 = 72

4n+12 = 72

4n = 72-12

4n = 60

n = 60/4

n = 15

Hence, the total number of multiples of 4 between 12 and 75 is 15.