(c) Input: a1, a2,..., an, a sequence of numbers, where n > 1 n, the length of the sequence. Output: "True" if there are any two numbers in the sequence whose sum is 0 and "False" otherwise.

C++ Programming: From Problem Analysis to Program Design
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Author:D. S. Malik
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Chapter15: Recursion
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Would you be able to help me with question 2.7 part C and E? I'm struggling with this problem and would be grateful for assistance because I don't know how to do this problem and can you do it step by step so I can see how you did it.

I only need help with part C and E and can you label the parts as well.

Write an algorithm in pseudocode for each description of the input and output.
(a) Input: a1, a2,..., an, a sequence of numbers, where n > 1
n, the length of the sequence.
Output: "True" if the sequence is non-decreasing and "False" otherwise.
A sequence of numbers is non-decreasing if each number is at least as large as the one before.
(b) Input: a1, a2,..., an, a sequence of numbers, where n > 1
n, the length of the sequence.
Output: "True" if there are two consecutive numbers in the sequence that are the same and "False" otherwise.
(c) Input: a1, a2,..., an, a sequence of numbers, where n > 1
n, the length of the sequence.
Output: "True" if there are any two numbers in the sequence whose sum is 0 and "False" otherwise.
(d) Input: a1, a2,..., an, a sequence of numbers, where n > 1
n, the length of the sequence.
Output: "True" if there are any three numbers in the sequence that form a Pythagorean triple.
The numbers x, y, and z are a Pythagorean triple if x² + y² = 22.
(e) Input: a1, a2,..., an, a sequence of distinct numbers, where n > 2
n, the length of the sequence.
Output: The second smallest number in the sequence.
Transcribed Image Text:Write an algorithm in pseudocode for each description of the input and output. (a) Input: a1, a2,..., an, a sequence of numbers, where n > 1 n, the length of the sequence. Output: "True" if the sequence is non-decreasing and "False" otherwise. A sequence of numbers is non-decreasing if each number is at least as large as the one before. (b) Input: a1, a2,..., an, a sequence of numbers, where n > 1 n, the length of the sequence. Output: "True" if there are two consecutive numbers in the sequence that are the same and "False" otherwise. (c) Input: a1, a2,..., an, a sequence of numbers, where n > 1 n, the length of the sequence. Output: "True" if there are any two numbers in the sequence whose sum is 0 and "False" otherwise. (d) Input: a1, a2,..., an, a sequence of numbers, where n > 1 n, the length of the sequence. Output: "True" if there are any three numbers in the sequence that form a Pythagorean triple. The numbers x, y, and z are a Pythagorean triple if x² + y² = 22. (e) Input: a1, a2,..., an, a sequence of distinct numbers, where n > 2 n, the length of the sequence. Output: The second smallest number in the sequence.
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