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).
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
The nth term is (2n - 12).
3n-2
It is: -6n+22
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.
t(n) = n(n - 3)
The Nth term in the series is [ 2N ] .
The nth term is: 3n+1 and so the next number will be 16
Un = 2n + 2 is one possible answer.
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.
The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)
f(n) = 14 - 6n -6n+20
They are: nth term = 6n-4 and the 14th term is 80