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Consider the sequence starting with 0,0, 1,3,6, 10, 15, 21,28,36,45,... (a) Give a recursive definition for the sequence, which includes the basis step and the

Consider the sequence starting with 0,0, 1,3,6, 10, 15, 21,28,36,45,...

(a) Give a recursive definition for the sequence, which includes the basis step and the recursive step, for n - 0,1,2,3,...;

(b) Design a recursive algorithm in pseudocode to find the rlh term of the sequence.

(c) Give the time complexity of the above recursive algorithm.

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