It is: nth term = 7n-9
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To find the nth term in a quadratic sequence, we first need to determine the pattern. In this case, the difference between consecutive terms is increasing by 3, 5, 7, 9, and so on. This indicates a quadratic sequence. To find the 9th term, we need to use the formula for the nth term of a quadratic sequence, which is given by: Tn = an^2 + bn + c. By plugging in n=9 and solving for the 9th term, we can find that the 9th term in this quadratic sequence is 74.
n2 + 3n - 2
First put them in order:11, 12, 13, 15, 16, 26, 26.Then use your fingers the numbers at the opposite ends:11, 12, 13, 15, 16, 26, 26.Then keep moving in11, 12, 13, 15, 16, 26, 26.11, 12, 13, 15, 16, 26, 26.Until you come to the middle:11, 12, 13, 15, 16, 26, 26.So the median is 15.
There are infinitely many polynomials of order 6 (or higher) that will give these as the first six numbers and any one of these could be "the" rule. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.In this particular case, the simplest solution isU(n) = 3*n^2 - 1 for n = 1, 2, 3, ...
(13 + 15 + 26 + 11 + 26 + 16 + 12)/7 = 17 ====