Answer:-
To find the nth term of a quadratic sequence, start by identifying the sequence's second differences; they should be constant. Divide this constant by 2 to get the coefficient of ???? 2 n 2 . Next, subtract this ???? 2 n 2 term from each term in the sequence to create a new linear sequence. Find the formula for this linear sequence, which will often be of the form ???? ???? + ???? an+b. Combine the ???? 2 n 2 term and the linear sequence formula to get the nth term. Finally, verify by substituting terms back into the formula to ensure it matches the original sequence.
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