Question

If $a_n$ is the nth term, $a_n-1$ is the previous term and $a_n-2$ is the term before the term $a_n-1$ then $a_n=a_n-2+a_n-1$ is the formula for

• A. fibonacci sequence
• B. infinite sequence
• C. finite sequence
• D. geometric sequence

Answer 1

Answer: (A)

fibonacci sequence

The Fibonacci sequence is a series of numbers where a number is found by adding up the two numbers before it. Starting with 0 and 1, the sequence goes 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so forth.

Written as a rule, the expression:

$a_n=a_{n-2}+a_{n-1}$

Hence, the answer is Fibonacci sequence.