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(n^2+n)/2
after -9 it is -15 then -21, -27 and the ninth is -36
f = 10n + (n - 1)^2 For n=10 f = 10(10) + (10 - 1)^2 f = 181
To find the nth term of this sequence, we first need to determine the pattern or rule governing the sequence. By examining the differences between consecutive terms, we can see that the sequence is increasing by 9, 15, 21, 27, and so on. This indicates that the nth term is given by the formula n^2 + 1.
The Series has the formula 3n + 1/2(n - 1)(n - 2) = 3n + 1/2(n2 - 3n + 2) which simplifies to, 1/2(n2 +3n + 2)