The sequence ao, ɑ1, ɑ2, . . . is given recursively by ak = ak-1 + 6k, k>1 and ao = 6 . (a) Use iteration to guess an explicit formula for the sequence. (b) Use mathematical induction to verify the correctness of the formula you obtained in part (a).

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.