Answer:-
To solve quadratic sequences, start by listing the terms and finding the first differences (subtract consecutive terms). If the first differences vary, find the second differences. For a quadratic sequence, the second differences are constant. The nth term formula is ???? ???? 2 + ???? ???? + ???? an 2 +bn+c. Use the first three terms to set up three equations by substituting ???? = 1 , 2 , 3 n=1,2,3 into the formula. Solve these simultaneous equations to find ???? , ???? , a,b, and ???? c. Plug these values into the formula, and you’ll have the nth term expression for the quadratic sequence.
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