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vichka [17]
3 years ago
8

How many numbers multiple of 3 are in the range [2,2000]?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

There are 666 numbers multiple of 3 in the interval.

Step-by-step explanation:

Multiples of 3:

A number is a multiple of 3 if the sum of it's digits is a multiple of 3.

Range [2,2000]:

First multiple of 3 in the interval: 3

Last: 1998

How many:

1 + \frac{1998 - 3}{3} = 1 + 665 = 666

There are 666 numbers multiple of 3 in the interval.

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