Understanding Sequences: A Beginner’s Guide
A sequence is a list of numbers that follows a specific pattern. Let’s explore some common types of sequences and see how they work:
1. Arithmetic Sequence
In an arithmetic sequence, the difference between each number is the same. Here’s an example:
2, 4, 6, 8, …
The difference between each number is 2:
4 – 2 = 2
6 – 4 = 2
8 – 6 = 2
And so on…
2. Geometric Sequence
In a geometric sequence, each number is multiplied by the same amount to get the next one. Here’s an example:
3, 6, 12, 24, …
Each number is multiplied by 2 to get the next one:
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
And so on…
3. Fibonacci Sequence
In the Fibonacci sequence, each number is the sum of the two before it. Here’s an example:
0, 1, 1, 2, 3, 5, …
Here’s how it works:
0 + 1 = 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
And so on…
Sequences are fascinating and can be found in many areas of mathematics and the real world. Whether it’s the rhythmic pattern of music, the growth of a population, or the spiraling of a seashell, sequences help us understand and describe these patterns. Stay tuned for more exciting insights into the world of sequences!