Number Sequence Calculator
There are many different types of number sequences. The following are calculators for some of them.
By definition, a sequence is an ordered list of objects. Accordingly, a number sequence is an ordered list of numbers. Many different types of number sequences have been invented. We have calculators for the following three most common number sequences:
An arithmetic sequence is a number sequence that the difference of any two successive numbers is a constant. The following is the formula:
fn = fn-1 + f
a, a + f, a + 2f, a + 3f, a + 4f, ...
1, 3, 5, 7, 9 11, 13, ...
n(f1 + fn)/2
an + n(n-1)/2
A geometric sequence is a number sequence that each number after the first is the multiplication of the previous one with a fixed non-zero number. The following is the formula:
fn = fn-1 * r
a, ar, ar2, ar3, ar4, ...
a is a scale factor
r is the common ratio
1, 2, 4, 8, 16, 32, 64, 128, ...
Fibonacci SequenceThe Fibonacci sequence is a number sequence that the first two numbers are 0 and 1, and each subsequent number is the sum of the previous two. The following is the formula:
f0 = 0
f1 = 1
fn = fn-1 + fn-2
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...