Simply the answer is incorrect if you substitute n=1 for first term in your equation you’ll get 7 while it should be 5.

The correct answer is as follows

5 14. 29. 50

First diff 9. 15. 21

Second diff is 6 for all

So Quadratic series

an^2+bn+c

2a =6 gives a=3

and 3a+b = 9 gives b=0

and a+b+c= 5 sub gives

c= 2

Hence series is

3n^2 +2

You were very close I think or you just typed the answer wrong by mistake, the correct answer is 3n^2+2

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