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How many multiples lie between 4 and 200 and 450 |
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Answer» 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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