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Subsequence of a Sequence & Complimentary Pair of Subsequences Video Lecture | Mathematics for Competitive Exams

FAQs on Subsequence of a Sequence & Complimentary Pair of Subsequences Video Lecture - Mathematics for Competitive Exams

1. What is a subsequence of a sequence?

Ans. A subsequence of a sequence is a sequence that can be derived from the original sequence by deleting some or no elements without changing the order of the remaining elements. In other words, a subsequence is obtained by selecting zero or more elements from the original sequence, preserving their relative order.

2. What is a complementary pair of subsequences?

Ans. A complementary pair of subsequences refers to two subsequences of a given sequence that, when combined, form the original sequence. The complementary pair of subsequences may have overlapping or non-overlapping elements, but their union should be equal to the original sequence.

3. How can we identify a subsequence in a sequence?

Ans. To identify a subsequence in a sequence, we need to check if the elements of the subsequence can be found in the same order within the original sequence. We can iterate through the original sequence and keep track of the elements of the subsequence. If we find all the elements in the desired order, it means that the subsequence exists in the sequence.

4. Can a subsequence be longer than the original sequence?

Ans. No, a subsequence cannot be longer than the original sequence. By definition, a subsequence is obtained by deleting some elements from the original sequence. Therefore, the length of a subsequence will always be less than or equal to the length of the original sequence.

5. How can we find all the complementary pairs of subsequences in a sequence?

Ans. Finding all the complementary pairs of subsequences in a sequence can be done by iterating through all possible subsequence combinations and checking if their union forms the original sequence. This can be achieved by using nested loops and keeping track of the elements selected for each subsequence. By exhaustively checking all combinations, we can identify all the complementary pairs of subsequences in the sequence.

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Sep 23, 2025 Last updated

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