A famous Hindu mathematician, Aryabhata, showed (in around 500 C. E.) you could add up the first n triangular numbers with a relatively simple formula: n(n + 1)(n + 2) =T + T2 + T3 + ... + Tn 6 Use this fact to find the sum of the first 53 triangular numbers. The sum of the first 53 square numbers is

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.