Question 6:a) Give a formula for triangular numbers (show first 7 elements of triangular numbers withexplanation).b) Give a formula for Fibonacci numbers (show first 5 elements with explanation).c) How does Hanoi Tower work? (explain).d) Give a pseudocode for factorial (show how it works).Question 7:d) Show that 5x² + 25x - 9 is 0(x²).e) Suppose a computer can perform 10¹2 bit operations per second. Find the largest problemsize that could be solved in 1 second if an algorithm requires: n³ and 3¹.f)Suppose a computer can perform 10¹2 bit operations per second. Find the time it wouldtake an algorithm that requires n³ + logn operations with a problem size of: n = 3000 andn = 10⁹.Question 8:Calculate time and space complexity for given algorithms.a) procedure function(){answer = 0for i=1 to nfor j = 1 to log(i)answer += 1print(answer) }b) {int i;for (i=1;i

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a) Give a formula for triangular numbers (show first 7 elements of triangular numbers with explanation). b) Give a formula for Fibonacci numbers (show first 5 elements with explanation). c) How does Hanoi Tower work? (explain).

a) Give a formula for triangular numbers (show first 7 elements of triangular numbers with explanation). b) Give a formula for Fibonacci numbers (show first 5 elements with explanation). c) How does Hanoi Tower work? (explain).

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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