Find the nth term of this quadratic sequence 3,8,15,24,

The nth term of the quadratic sequence 3,8,15,24,35 is

The given sequence is:

3, 8, 15, 24, 35.......

To get the nth term, let us consider the terms of the sequence for each value of n

When n = 1

1(1 + 2) = 3

When n = 2

2(2 + 2) = 8

When n = 3

3(3 + 2) = 15

When n = 4

4(4 + 2) = 24

When n = 5

5(5 + 2) = 35

By observing each of the terms above, the nth term will be given as:

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add 5,7,9,11

what we are adding is increasing by 2 each time

an= n(n+2)