Number series coding and decoding

Video Lecture & Questions for Number Series, Coding and Decoding and Odd Man Out Video Lecture | Business Mathematics and Logical Reasoning & Statistics - CA Foundation - CA Foundation full syllabus preparation | Free video for CA Foundation exam to prepare for Business Mathematics and Logical Reasoning & Statistics. Here you can find the meaning of Number Series, Coding and Decoding and Odd Man Out defined & explained in the simplest way possible. Besides explaining types of Number Series, Coding and Decoding and Odd Man Out theory, EduRev gives you an ample number of questions to practice Number Series, Coding and Decoding and Odd Man Out tests, examples and also practice mock tests for examination , Coding and Decoding and Odd Man Out Video Lecture | Business Mathematics and Logical Reasoning & Statistics - CA Foundation , Semester Notes , Sample Paper , Coding and Decoding and Odd Man Out Video Lecture | Business Mathematics and Logical Reasoning & Statistics - CA Foundation , MCQs , Extra Questions , Previous Year Questions with Solutions , Number Series , Summary , Exam , ppt , Number Series , shortcuts and tricks , study material , Coding and Decoding and Odd Man Out Video Lecture | Business Mathematics and Logical Reasoning & Statistics - CA Foundation , Viva Questions , Important questions , Number Series , Free , practice quizzes , Objective type Questions , past year papers , video lectures , pdf ;

https://math.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fmath.libretexts.org%2FBookshelves%2FMathematical_Logic_and_Proof%2FBook%253A_Friendly_Introduction_to_Mathematical_Logic_(Leary_and_Kristiansen)%2F04%253A_Incompleteness_From_Two_Points_of_View%2F4.05%253A_How_to_Code_a_Sequence_of_Numbers \( \newcommand\) • • • • • • • • Suppose we have a finite sequence of numbers, maybe \[2, 4, 3, 5, 9\] and we wish to code them up as a single number. An easy way to do this would be to code the sequence into the exponents of the first few prime numbers and then multiply them together: \[2^2 \cdot 3^4 \cdot 5^3 \cdot 7^5 \cdot 11^9 = 1605016087126798500.\] This would be easy, but unfortunately it will not suffice for our purposes, so we'll have to be a little sneakier. Fortunately, by being clever now, life will be simpler later, so it seems to be worth the effort. You're probably thinking that it would be easy to decide if a number was a code for a sequence. Obviously \(72 = 2^3 3^2\) wants to be the code for the sequence \(3, 2\), and the number 10 is not a code number, since \(10 = 2 \cdot 5\) is not a product of the first few primes. Sorry. Your perfectly fine idea runs into trouble if we try to code up sequences that include the number 0. For example if we were to code up the sequence \[1, 0, 1\] we would get \(2^1 \cdot 3^0 \cdot 5^1 = 10\), and so 10 should be a code number. But your idea about coding things as exponents really was a good one, and we can save it ...

Number Series: 8, 28, 116, 584, ? The given series is an example of an exponential series where each term is obtained by multiplying the previous term by a fixed number. In this case, the fixed number is 4. Coding and Decoding: There does not seem to be any pattern or code in the given series that can be decoded. Odd Man Out: The given series follows a pattern except for one number. The odd man out is the number 116. Explanation: The given series is an example of an exponential series where each term is obtained by multiplying the previous term by a fixed number. In this case, the fixed number is 4. - The first term of the series is 8. - The second term is obtained by multiplying the first term by 4, which gives 32. However, the second term in the given series is 28, which is obtained by subtracting 4 from 32. - The third term is obtained by multiplying the second term by 4, which gives 112. However, the third term in the given series is 116, which is obtained by adding 4 to 112. - The fourth term is obtained by multiplying the third term by 4, which gives 464. However, the fourth term in the given series is 584, which is obtained by adding 120 to 464. - Therefore, the missing term in the series is obtained by adding 240 to the fourth term, which gives 824. There does not seem to be any pattern or code in the given series that can be decoded. The given series follows a pattern except for one number. The odd man out is the number 116. Question Description 8,28,116,584,? num...