Question

how many natural numbers from 100 to 400 are divisible by 3​

Answer 1

Answer:

Number of natural numbers which is a multiple of 3 from 100 to 400 = 100

Step-by-step explanation:

Consider the natural numbers divisible by 3 from 100 to 400 as an arithmetic sequence and 3 as the common difference (d).

Then ,

First number in the sequence which is a multiple of 3 = 102

Last number which is a multiple of 3 = 399

Number of natural numbers which is a multiple of 3 from 100 to 400

= ( (Last number - First number) / (d) ) + 1

= ( ( 399 - 102 ) / 3 ) + 1

= ( 297 / 3 ) + 1

= 99 + 1

= 100

∴ The number of natural numbers which is a multiple of 3 from 100 to 400 is     100.

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