Question

Please help me for the brainliest answer

Answer 1

Answer:

$5n^2$

Step-by-step explanation:

This is a quadratic sequence.

The nth term must have $n^2$.

The sequence has a factor of $5$.

$5n^2$

$5(1)^2=5\\5(2)^2=20\\5(3)^2=45\\5(4)^2=80\\5(5)^2=125$

Few terms to this sequence are:

5, 20, 45, 80, 125, 180, 245, 320, 405, 500, 605, 720, 845, 980, 1125, 1280, 1445, 1620, 1805, 2000, 2205, 2420, 2645, 2880, 3125, 3380, 3645, 3920, 4205, 4500, 4805, 5120, 5445, 5780, ...