Most cited

Two ways to generate monotonic sequences: convexity and ratios
G. J. O. Jameson
Published online by Cambridge University Press:

17 February 2021, pp. 16-26
- Article
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation
Here we give an account of two appealingly simple techniques to generate monotonic sequences that were developed by the author and Grahame Bennett. Sadly, Bennett died in 2016 after a lifetime of distinguished contributions in the field of inequalities. This article is dedicated to him.

Peak numbers
Tabitha T. Y. Mingus, Richard Grassl
Published online by Cambridge University Press:

01 August 2016, pp. 44-50
- Article
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation
Two recent problems appearing in die September 1997 and September 1999 issues of the NCTM publication Mathematics Teacher asked the following:
A. An integer is called decreasing if each digit is less than the one to its left. Determine the number of decreasing integers between 2000 and 7000.
B. A 5-digit integer is a peak number if its digits strictly increase to the middle one then strictly descend. Determine the number of 5-digit peak numbers that are greater than 70,000.

The Mathematical Gazette