Answer:
The nth term = n^2 + 5n.
Step-by-step explanation:
n 1 2 3 4 5
Terms 6 14 24 36 50
Differences 8 10 12 14
Differences 2 2 2
This indicates that its a quadratic sequence containing with the nth term formula containing n^2.
n^2 1 4 9 16 25
Subtract
n2 from
each term 5 10 15 20 25
= this is an AP with nth term = 5 + 5(n - 1) = 5n
So the nth term of the original sequence
= n^2 + 5n.
