What is the running time of a method with the following recurrence relation: T( n ) = T( n − 1 ) + T( n − 1 ), with T( 0 ) = 1? A) O( n ) B) O( 2ⁿ ) C) O( 1 ) D) O( n² )

Name: What is the running time of a method with the following recurrence relation: T( n ) = T( n − 1 ) + T( n − 1 ), with T( 0 ) = 1? A) O( n ) B) O( 2 n ) C) O( 1 ) D) O( n 2 )
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Question

Quizplus · Accepted Answer

The recurrence relation T(n) = 2T(n-1) with T(0) = 1 describes an exponential growth, leading to a running time of O(2^n).

What Is the Running Time of a Method with the Following