## 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.

## Patterns in a Table

Investigate numeric relationships in a two dimensional matrix generated by a polynomial function with two variables.