What do you call a sequence of numbers where each term is found by adding the previous two terms?

The sequence of numbers where each term is found by adding the previous two terms is known as the Fibonacci sequence. This sequence starts with 0 and 1, and then each subsequent number is the sum of the two preceding ones, resulting in the series: 0, 1, 1, 2, 3, 5, 8, 13, and so forth.

This unique property of generating each term from the last two is a defining characteristic of the Fibonacci sequence. It differs from a geometric sequence, where each term is produced by multiplying the previous term by a constant factor, and from an arithmetic sequence, where a constant is added to the previous term to find the next one. A harmonic sequence, on the other hand, is based on the reciprocals of an arithmetic sequence. Therefore, when identifying sequences, recognizing the method of term generation is key to correctly labeling them, making the Fibonacci sequence the appropriate choice in this case.