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.
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.
25 36 49 64 81 100 121 144
100 200 20
The first thing to notice is that all the numbers in the sequence are square numbers. 25=5x5 36=6x6 49=7x7 64=8x8 81=9x9 So the next three numbers to be squared are 10, 11 and 12. 10x10=100 11x11=121 12x12=144 Thus, the next three numbers in the sequence are 100, 121, 144 The equation for the sequence is (n+4)2
When counting by 5's, the next number after 100 would be 105. This is because you are adding 5 to each subsequent number in the sequence. Therefore, after 100, the next number in the sequence would be 105.
If the sequence is determined by 100 - 70 = 30, then the next number is 10.
The sequence subtracts consecutive odd numbers. In this sequence it goes -1, -3, -5, -7. The next number will be 75 (84 - 9).
The next number would be 7.
Well, honey, I hope you're buckled up for this rollercoaster of numbers. Looks like we're playing a little game of subtraction here. 100 minus 1 is 99, then minus 4 gives you 95, minus 9 gives you 86, and minus 16 gives you 70. So, the next number in this sassy sequence is 54. You're welcome, darling.
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.
The next would be 7. 100 minus 48 is 52. 52 minus 24 (half of 48) is 28. 28 minus 12 (half of 24) is 16. etc.. The next in the sequence after 7 would be 5.5.
100
0.1