Math Problem Statement

Solve the following recurrence using the substitution method: T(n) = T(n/3) + T(n/5) + 90n, T(1) = 45

Solution

To solve the recurrence relation using the substitution method, we will follow

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Math Problem Analysis

Mathematical Concepts

Recurrence Relations
Substitution Method
Asymptotic Analysis

Formulas

T(n) = T(n/3) + T(n/5) + 90n
T(1) = 45

Theorems

Master Theorem (General Case)
Recursion Tree Method

Suitable Grade Level

Undergraduate Computer Science