Project #77525 - Sequence of runtime

Part I

Suppose you have the following sequence of runtime 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 runtime 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 runtime and the worst-case runtime 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 runtime of an array of size n?

Subject Mathematics
Due By (Pacific Time) 07/27/2015 12:00 pm
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