Answer :

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:

https://brainly.com/question/21961097

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