Mathematical number sequences?

Question

I am looking for number sequences like the Fibonacci Sequence (1, 1, 2, 3, 5, 8...). I would like to know some that have at least 5 or 6 numbers under 10.

Answer 1

Number sequences are easy to find. Just come up with a formula, plug in values for x=1, 2, 3, .. and there is your sequence. But if you are looking for well known sequences, I can think a few more you can use, beside the obvious ones like all numbers (1,2,3,...), even numbers (2,4,6,...), odd numbers(1,3,5,...), square numbers (1,4,9,..) or cube numbers(1,8,27,...). There are the triangular numbers: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ... (imagine building a triangle), Tetrahedral number: 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364, 455, 560, 680, 816, 969, … (Imagine building a triangular based pyramid), Square pyramidal number: 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, ... (imagine building a squared based pyramid).

Of course these are all math-based sequences. At times non-math-based sequences can be more interesting. For example, look at this sequence: 3, 3, 5, 4, 4, 3, 5, 5, 4, 3, ... These are the number of letters it takes to spell out "one", "two", "Three", ...

I hope this helped

Kia

Answer 2

The sequence might properly be expressed as follows: - 11^3 * 10, - 11^2 * 10, - 11^one million * 10, ( ) ... by utilising watching the trend, we can end that the term interior the parenthesis is - 11^0 * 10, or - 10.

Answer 3

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811

Answer 4

I don' t know if this will help you or not, seeing as it isn't really a sequence, but i think the "divine proportion" is interesting. look it up. it should lead to some more legitimate answers to your question.

Answer 5

1, 2,3,4,5,6,7,8,9,10
1,3,5,7,9

thered loads more there you can do something like two numbers forward then the next one can be one step back etc.