There are 22 numbers between 10 and 100 that are divisible by 4.
Here's how we can determine that:
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Identify the first number: The first number greater than 10 that is divisible by 4 is 12.
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Identify the last number: The last number less than 100 that is divisible by 4 is 96.
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Use the arithmetic progression formula: We have an arithmetic progression with a first term (a) of 12, a common difference (d) of 4, and a last term (l) of 96.
The formula for the nth term of an arithmetic progression is: l = a + (n - 1)d
Plugging in the values, we get: 96 = 12 + (n - 1)4
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Solve for n:
96 = 12 + 4n - 4
96 = 8 + 4n
88 = 4n
n = 22
Therefore, there are 22 numbers between 10 and 100 that are divisible by 4.
