Answer:-
To find the nth term of a quadratic sequence, start by determining the differences between consecutive terms (first differences). If the first differences are not constant, find the second differences. For a quadratic sequence, the second differences will be constant. The nth term of a quadratic sequence has the form ???? ???? 2 + ???? ???? + ???? an 2 +bn+c. Use the first few terms of the sequence to create simultaneous equations by substituting ???? = 1 , 2 , 3 n=1,2,3 into the formula. Solve these equations to find the values of ???? , ???? , a,b, and ???? c. Combine them to form the nth term formula.
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