The nth term rule of the quadratic sequence is;
-5 + (n - 1)²
Finding the nth term of a sequence
We are given the sequence as;
−5,−4,−1,4,11,20,31
Difference between the consecutive terms in order is seen to be; +1, +3, +5, +7, +9, +11
Thus, the pattern is;
-5 + 0 = -5
-5 + 1 = -4
-5 + 4 = -1
-5 + 9 = 4
From the pattern above, we can deduce that the nth term is gotten from the expression; -5 + (n - 1)²
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