You decide to create the digits of a decimal number y between 0 and 1 using the function f(n) = 3n + 1. Here’s your system. Compute f (1) and put the result as the first digit of y to the right of the decimal point. Compute f(2) and put the result as the second digit of y. Compute f(3) and put the result as the third and fourth digits of y. Compute f(4) and put the result as the fifth and sixth digits of y. And so on. What’s the tenth digit of y? Do you think y is irrational? Why or why not?
You decide to create the digits of a decimal number y between 0 and 1 using the function f(n) = 3n + 1. Here’s your system. Compute f (1) and put the result as the first digit of y to the right of the decimal point. Compute f(2) and put the result as the second digit of y. Compute f(3) and put the result as the third and fourth digits of y. Compute f(4) and put the result as the fifth and sixth digits of y. And so on. What’s the tenth digit of y? Do you think y is irrational? Why or why not?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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You decide to create the digits of a decimal number y between 0 and 1 using the function f(n) = 3n + 1. Here’s your system. Compute f (1) and put the result as the first digit of y to the right of the decimal point. Compute f(2) and put the result as the second digit of y. Compute f(3) and put the result as the third and fourth digits of y. Compute f(4) and put the result as the fifth and sixth digits of y. And so on. What’s the tenth digit of y? Do you think y is irrational? Why or why not?
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