Infinite Decimal Expansion as an Infinite Series
Read this topicProblems 6
- Define a function p(n)p(n)p(n) which takes a nonnegative integer nnn and returns the nthn^{th}nth digit of π\piπ, with the ones place being thought of as the "zeroth" digit. For…
- Which of the following infinite series helps prove that 0.99999...=10.99999... = 10.99999...=1?
- Using an infinite geometric series, what is the binary value 0.1010101…0.1010101\dots0.1010101… equal to in base 10? Express your answer as a fraction in lowest terms. (Hint: No…
- What is the value of 0.3003003003…0.3003003003\dots0.3003003003… as a fraction in lowest terms?
- What is the value of 0.324324324…0.324324324\dots0.324324324… as a fraction in lowest terms?
- What is the value of 0.763636363636…0.763636363636\dots0.763636363636… as a fraction in lowest terms?