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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 44PPS
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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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