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The sequence 3; 9; 17; 27; ... is a quadratic sequence. Determine an expression for the nth term of the sequence.
in Mathematics by Diamond (61,686 points) | 1,027 views

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Best answer
1st difference= 6,8,10

2nd difference= 2,2,...

2a=2

  a=1

3a+b=6

        b= 6-3(1) = 3

a+b+c= 3

           c= 3-1-3 = -1

hence nth term= n^2 + 3n - 1
by Diamond (42,400 points)
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