t(n) = 3n2 + n = n(3n + 1)
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Well, isn't that just a lovely pattern we have here? Each term is increasing by 4, isn't that delightful? So, if we want to find the nth term, we can use the formula: nth term = first term + (n-1) * common difference. Just like painting a happy little tree, we can plug in the values and find the nth term with ease.
Each number is increasing by increments of 8 10 12 14 ... etc and so the next number will be 52+16 = 68
7(n2-1) - 4
52/60=26/30 =13/15
nth term is 9n-3 and so the next term will be 42