Given the quadratic : 2;5; 10; 17

. Calculate the n^th term of the quadratic sequence

2 answers

does your notation mean that
A2 = 5
A10 = 17
?? If so, two points do not determine a quadratic function.
Given the quadratic : 2;5; 10; 17

-- not familiar with that notation, are you saying you have the points
(1,2), (2,5), (3,10), (4,17) satisfying a quadratic function?
A quick observation will show that the y value is 1 more than the square of the x value,
that is .... (there are algorithms for more complicated values)
y = x^2 + 1
or
the nth term would be n^2 + 1