Sequences are super helpful for figuring out trends in technology and how people behave when they shop. Here’s how they can make a big difference:

1. Spotting Patterns: By looking at sequences of past technology trends, like how smartphone use has grown or how people joined social media, we can see patterns. For example, if we check the sales of a popular gadget over the years, we can tell if it's slowly getting more popular or if it’s selling a lot at certain times.

2. Working with Data: We can use numbers to show these sequences. For example, if we look at smartphone sales each year, we can represent them as a sequence: $a_1, a_2, a_3, \ldots$. Each $a_n$ stands for sales in year $n$. This helps us analyze the numbers and guess how many phones will sell in the future.

3. Fast Growth: Some technologies, like social media, can grow super fast. This kind of growth can be shown using something called geometric sequences. This means we can understand how quickly something can become really popular.

4. Watching Consumer Trends: We can also track how people buy certain tech gadgets over time. By doing this, businesses can know the best times to launch new products or run sales.

In simple terms, sequences help us break down trends in a clear way. This makes it easier to guess what will happen next in technology and how people shop!