The nth term of this quadratic sequence is n^2+3.
Given sequence:
4,7,12,19,28, .......
Sequence:
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
Rewriting the given sequence
= 1+3,4+3,9+3,16+3,25+3,.....
= 1^2+3 , 2^2+3, 3^2+3, 4^2+3, 5^2+3,......
we can clearly observe that the given sequence is in Arithmetic progression.
[tex]a_n[/tex] = a+(n-1)d
here nth term is;
= n^2 + 3.
Learn more about the sequence here:
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