Devise an algorithm that finds the first term of a sequence of integers that equals some previous term in the sequence.

Devise an algorithm that finds all equal pairs of sums of two terms of a sequence of n numbers, and determine the worst-case complexity of your algorithm.

Use the bubble sort to sort 6, 2, 3, 1, 5, 4, showing the lists obtained at each step.

Use the bubble sort to sort d, f, k, m, a, b, showing the lists obtained at each step.

Analyze the worst-case time complexity of the algorithm you devised for locating all modes in a list of nondecreasing integers.

Analyze the worst-case time complexity of the algorithm you devised for locating a mode in a list of nondecreasing integers.

Describe an algorithm to find the longest word in an English sentence(where a sentence is a sequence of symbols, either a letter or a blank, which can then be broken into alternating words and blanks).

Devise an algorithm that finds all modes. (Recall that a list of integers is nondecreasing if each term of the list is at least as large as the preceding term.)

Devise an algorithm that finds the sum of all the integers in a list.

Devise an algorithm that finds a mode in a list of nondecreasing integers. (Recall that a list of integers is nondecreasing if each term is at least as large as the preceding term.)

List all the steps used to search for 7 in the sequence 1, 3, 4, 5, 6, 8, 9, 11 a) a linear search. b) a binary search.

Describe an algorithm that determines whether a function from a finite set of integers to another finite set of integers is onto.

The ternary search algorithm locates an element in a list of increasing integers by successively splitting the list into three sublists of equal (or as close to equal as possible) size, and restricting the search to the appropriate piece. Specify the steps of this algorithm.

To establish a big-O relationship, find witnesses C and k such that |f (x)| ≤ C|g(x)| whenever x > k. Determine whether each of these functions is O(x). a) f (x) = 10 b) f (x) = 3x + 7 c) f (x) = x² + x + 1 d) f (x) = 5 log x e) f (x) = ⌊x⌋ f) f (x) = ⌈x/2⌉