Given ANY number at all, it is possible to find a cubic polynomial such that that particular number is the nth number in a sequence starting with the above three.
The simplest rule, however, is Un = 5n + 9
Assuming the pattern would continue: 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13...
If you mean: 6 12 18 24 then the nth term is 6n
Well, darling, the nth term for the sequence 18, 12, 6, 0, -6 is -6n + 24. So, if you plug in n = 1, you get 18; n = 2 gives you 12, and so on. Just a little math magic for you to enjoy!
To find the nth term of the sequence 9, 12, 17, 24, 33, we first look at the differences between consecutive terms: 3, 5, 7, and 9. These differences themselves increase by 2, indicating a quadratic relationship. We can derive the nth term formula as ( a_n = n^2 + 8n + 1 ). Thus, the nth term of the sequence can be expressed as ( a_n = n^2 + 8n + 1 ).
If you mean: 34 39 24 ... then the nth term is 39-5n and so the 100th term = -461
Assuming the pattern would continue: 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13...
29
The nth term is (36 - 4n)
If you mean: 6 12 18 24 then the nth term is 6n
24-5n
44
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
The given sequence appears to be increasing by 10 each time. To find the nth term, we can use the formula for arithmetic sequences: nth term = first term + (n-1) * common difference. In this case, the first term is 4 and the common difference is 10. Therefore, the nth term for this sequence would be 4 + (n-1) * 10, which simplifies to 10n - 6.
The pattern between these numbers seems to be that they are incrementing by five each time. (9 - 4 = 5, 14 - 9 = 5, etc.) Also, the series starts at four. So the formula to find the nth term for this series would be 5(n-1) + 4 For the first in the series to be four, the n being multiplied by the five must be zero, so that is why there is the minus one. Testing the formula: 5(3-1) + 4 = 14 correct 5(5-1) + 4 = 24 correct
7n - 4
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .