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
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The nth term is (36 - 4n)
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.
7n - 4