From natural numbers from 9 to 1000, how many numbers are divisible by 3 ?
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Answer:
331
Step-by-step explanation:
first term = a = 9
last term = 999
common difference = d = 3
number of terms = an = a + (n-1)d
999 = 9 + (n - 1) (3)
999 - 9 = (n-1) (3)
990 = (n-1)(3)
n - 1 = 990/3
n - 1 = 330
n = 330 + 1
n = 331
therefore the number of terms divisible by 3 from 9 to 1000 are 331
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