Clearly, each number in the sequence is two less than the previous number, and it starts with 10, so it would have to be something like 10 - 2n. However, this gives the terms "one off", so it needs an additional adjustment. If you start with 12, you get the correct sequence: 12 - 2n. This is equivalent to 2(6-n).
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It is: -6n+22
t(n) = n(n - 3)
The Nth term in the series is [ 2N ] .
To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 5, 9, 13, 17, and so on. These are increasing by 4 each time. This means that the nth term can be calculated using the formula n^2 + 4n + 1. So, the nth term for the sequence 5, 10, 19, 32, 49 is n^2 + 4n + 1.
They are: nth term = 6n-4 and the 14th term is 80