add 5,7,9,11
what we are adding is increasing by 2 each time
an= n(n+2)
The nth term of the quadratic sequence 3,8,15,24,35 is [tex]T_n = n(n+2)[/tex]
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:
[tex]T_n = n(n + 2)[/tex]
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