What is the nth term of the quadratic sequence 7 , 14 , 23 , 34 , 47 , 62 , 79?
2 answers:
are you asking for the 9th term or the 10th term?
First difference in the sequence is:-
7 9 11 13 15 17
second difference = 2 so nth term contains n2
subtracting n^2 from the sequence
7 14 23 34 47
1 4 9 16 25
= 6 10 14 18 22 this is an AP with first term 6 and common diff = 4
so formula is n^2 + ( 6 + 4(n - 1)
= n^2 + 4n + 2 answer
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