What are some examples of numeric sequences?

What are some examples of numeric sequences?

Numeric sequences are ordered lists of numbers that follow a specific pattern. Some examples include: 1, 2, 3, 4 (arithmetic sequence); 2, 4, 8, 16 (geometric sequence); and 1, 1, 2, 3, 5, 8 (Fibonacci sequence). Would you like to know more about any specific type?

Can you explain the Fibonacci sequence?

Sure! The Fibonacci sequence starts with 0 and 1, and each subsequent number is the sum of the two preceding ones. So it goes: 0, 1, 1, 2, 3, 5, 8, 13, and so on. It's found in various natural phenomena, like the arrangement of leaves on a stem.

What about arithmetic sequences?

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, in the sequence 3, 6, 9, 12, the common difference is 3. Would you like to see more examples or applications of arithmetic sequences?

Yes, please provide more examples.

Sure! Here are a few more examples of arithmetic sequences: 5, 10, 15, 20 (difference of 5); 100, 90, 80, 70 (difference of -10); and 1, 4, 7, 10 (difference of 3). Each of these sequences has a consistent difference between terms.