## Related questions with answers

Question

Identify a pattern in each list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) $1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}$, ____

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Each number is found by adding 1 to the denominator of the previous number. Note that the denominator of 1 is 1:

$\begin{align*} \dfrac{1}{1+1}&=\dfrac{1}{2}\\ \dfrac{1}{2+1}&=\dfrac{1}{3}\\ \dfrac{1}{3+1}&=\dfrac{1}{4}\\ \dfrac{1}{4+1}&=\dfrac{1}{5} \end{align*}$

So, the next number is:

$\dfrac{1}{5+1}=\color{#c34632}\dfrac{1}{6}\color{white}\tag{1}$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Probability and Statistics for Engineers and Scientists

9th Edition•ISBN: 9780321629111 (4 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers1,204 solutions

#### The Practice of Statistics for the AP Exam

5th Edition•ISBN: 9781464108730 (1 more)Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor2,433 solutions

#### Statistics and Probability with Applications

3rd Edition•ISBN: 9781464122163Daren S. Starnes, Josh Tabor2,555 solutions

## More related questions

- anatomy and physiology

1/4

- anatomy and physiology

1/7