There are infinitely many possible answers - depending on the nature of the function that is chosen for the three given values.
For example:
Un= 50n2- 350n + 700 for n = 1, 2, 3, ... would imply the next two numbers are 100 and 200.
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25 36 49 64 81 100 121 144
100 200 20
If the sequence is determined by 100 - 70 = 30, then the next number is 10.
The next number would be 7.
Anything raised to the 0th power (except 0) is equal to 1. The reason: Consider the following sequence of numbers: 104, 103, 102, 101 Another way to write this sequence of numbers is 10000, 1000, 100, 10 Notice that each number is one-tenth of the preceding number. 1000 is one-tenth of 10000 100 is one-tenth of 1000 10 is one-tenth of 100. What should the next number in the sequence be? Looking at the first way of writing the numbers, it should be 100. Looking at the second way of writing it should be one-tenth of 10. One-tenth of 10 is 1. Similarly 10-1 would be the next number in the sequence and it would have to equal one-tenth of 1 or 0.1.