Posted: November 6th, 2015

Math

Math

Part I

Suppose you have the following sequence of run time for an operation: 3, 6, 11, 18, 27, 38,…

List the next 2 elements in the sequence.
Determine the general equation that yields results for any element of the sequence.
What is the run time for matrix multiplication operations in terms of big-O notation?
Part II

Suppose you have the following array of data: {4, 5, 7, 11, 20, 24, 31, 35, 40, 45, 50}.

Explain how you precede a sequential search of an array.
Apply your method of search to the given array to locate the element of number 11.
Clearly indicate whether or not the element was found and its index (location) within the array.
Apply your method of search to the given array to locate the element of number 13.
Clearly indicate whether or not the element was found and its index (location) within the array.
What is the best-case run time and the worst-case run time of an array of size n?
Part III

Suppose you have the following array of data: {4, 5, 7, 11, 20, 24, 31, 35, 40, 45, 50}.

Explain how you precede a binary search of an array.
Apply your method of search to the given array to locate the element of number 11.
Clearly indicate whether or not the element was found and its index (location) within the array.
Apply your method of search to the given array to locate the element of number 13.
Clearly indicate whether or not the element was found and its index (location) within the array.
What is the worst-case run time of an array of size n?

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