Question

A pattern that repeats every six symbols starts as shown below What are the 100th and 101st symbols in the pattern? Heart clover heart diamond heart spade

Answer 1

To determine the 100th and 101st symbols in the pattern "heart, clover, heart, diamond, heart, spade," we first note that there are 6 symbols in this repeating pattern:

1. Heart
2. Clover
3. Heart
4. Diamond
5. Heart
6. Spade

To find the position of the 100th and 101st symbols, we can use modulo arithmetic to find their positions within the repeating cycle.

**Calculating the position:**
- For the 100th symbol:
\[
100 \mod 6 = 4
\]
This means the 100th symbol corresponds to the 4th symbol in the pattern (Diamond).

- For the 101st symbol:
\[
101 \mod 6 = 5
\]
This means the 101st symbol corresponds to the 5th symbol in the pattern (Heart).

**Conclusion:**
- The 100th symbol is Diamond.
- The 101st symbol is Heart.