The numbers divisible by 3 up to 1000 are: 3, 6, 9, ..., 996, 999. This sequence represents an Arithmetic Progression (A.M) with a first term (a) of 3 and a common difference (d) of 3.
To find all the numbers in this sequence, you can use the following formula:
- a + (n-1)d
where:
- a is the first term (3)
- d is the common difference (3)
- n is the number of terms
To find the number of terms (n), we can use the following formula:
- n = (last term - first term) / common difference + 1
In this case:
- n = (999 - 3) / 3 + 1 = 333
Therefore, there are 333 numbers divisible by 3 up to 1000.
Here are some examples:
- 3 + (1-1)3 = 3
- 3 + (2-1)3 = 6
- 3 + (333-1)3 = 999
