# Tag Archives: approximation

## Carnival of Mathematics #53

Welcome to the 53rd Carnival of Mathematics! A somewhat shorter carnival this time, but I greatly enjoyed reading the submissions I did get, and I hope you do too. Meaghan Montrose at TutorFi presents ten tips for daily practicing your … Continue reading

## Predicting pi: pretty graphs and convergents

Recall the challenge I posed in a previous post: given the sequence of integers , what can you learn about (assuming you didn’t know anything about it before)? The answer, as explained in another post, is that you can learn … Continue reading

Posted in convergence, famous numbers, pattern, sequences | Tagged , , , | 5 Comments

## Predicting Pi: solution

Now for the solution to the question in my previous post, which asked what you can learn about , given the sequence of integers . Nick Johnson commented: Well, the obvious thing one can learn given just |(10^n)r| is the … Continue reading

Posted in convergence, pattern, sequences, solutions | Tagged , , , , | 5 Comments

## Predicting Pi

Inspired by a recent post over at Foxmaths!, here’s an interesting challenge question for you to think about: Suppose I give you the sequence of integers , and so on, where denotes the greatest integer less than or equal to … Continue reading

Posted in challenges, pattern, sequences | Tagged , , , | 3 Comments