The next three numbers in the pattern are 80, 85, 90....
These are the multiples of 5.
The complete pattern is 30,45,60,75,80, 85, 90....
Look at the first three or four numbers in the pattern. You might wonder what link there is between these figures. In this mathematical pattern, for instance, the first three to four numbers are 1, 3, 6, and 10. It seems like you must add to get the higher numbers as you go up the scale. Start with adding 2, then follow with 2, 3, and finally 4. So, if you write this down, you probably see a pattern starting to emerge.
Try the remaining elements of the supplied pattern to see whether your solution works.
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