Suit Sequence
A pattern repeats every six symbols. What are the 100th and 101st symbols?
Age
11 to 14
Challenge level
Problem
A pattern that repeats every six symbols starts as shown below: $$ \heartsuit \:\: \clubsuit \:\: \heartsuit \:\: \diamondsuit \:\: \heartsuit \:\: \spadesuit \:\: \heartsuit \:\: \clubsuit \:\: \heartsuit \:\: \diamondsuit \:\: \heartsuit \:\: \spadesuit \:\: \ldots$$ What are the $100^{\text{th}}$ and $101^{\text{st}}$ symbols in the pattern?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Student Solutions
Answer: $\diamondsuit \:\: \heartsuit$
Image
Image
Since $100\div6=96$ remainder $4$