how many multiples lie between 4 and 200 and 450
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Answer:
60
Step-by-step explanation:
Let us consider the multiples of 4 which lie between 10 and 250.
12, 16, 20, 24, 28, 32, 40,……….248.
It is an Arithmetic Progression(AP), it is defined as a series of numbers in order in which the difference of any two consecutive numbers is a constant value.
Starting term (a) = 12
Difference (d) = 4
Let us consider the total number of terms be n, then
a + (n – 1)d =248
12 + (n – 1)4 = 248
12 + 4n – 4 = 248
12 + 4n – 4 – 248 = 0
4n – 240 = 0
4n = 240
n = 60
∴ There are 60 multiplies of 4 lies between 10 and 250.
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