Question: 1. Using the integer k = 6, derive a closed-form formula for T(n) by solving the recurrence with the base condition T(1) = 0. What

1. Using the integer k = 6, derive a closed-form formula for T(n) by solving the recurrence with the base condition T(1) = 0. What is the Big-Theta time complexity of T(n)?

Hint: You might need the Stirling's formula, for T(n) by solving the recurrence with the base condition T(1) = with the common irrational constants e and 0. What is the Big-Theta time complexity of T(n)? Hint: You might (2.7182818 and 3.1415926, respectively).

T(n) T(n-1) + logk (n

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