The Last Digit
Given a number raised to a large power, find the ones digit of the expansion.
Author Archive for: corrill
Entries by InterMath
Half-Sums
Consider the infinite sums of some numbers.
Hot Air Balloon
Determine the height of a hot air balloon over time based on a recursive condition.
Pascal’s Patterns
Identify patterns in a triangular array of numbers.
Infinite Series
Determine the sum of various infinite series and investigate how to tell if a series will converge.
Gone Fishing
Determine the terms of an arithmetic sequence given its constant difference, number of terms, and sum.
Fibonacci Extended
Identify an explicit pattern between terms in a group of numbers that are generated recursively.
Multiplying Rabbits
Examine how the family tree of a rabbit forms the Fibonacci sequence and the golden ratio.
Nugget Numbers
Find combinations of McDonald’s Chicken McNugget orders that will and will not generate different natural numbers.
Fractions into Whole Numbers
Find three whole numbers that can be substituted into a fractional expression so that the expression evaluates to a whole number.