If the amount being added each time is d
and
if the first term is a,
then t(n) = a + (n-1)*d
a sequence in which each term is found by adding the same number
Arithmetic Sequence
That's an arithmetic sequence.
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
A Fibonacci sequence is a mathematical sequence that starts with zero, and continues by adding the previous two terms. The Fibonacci sequence starts: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. Each term from the second term onwards is achieved by adding the pervious two terms.
a sequence in which each term is found by adding the same number
an arithmetic series equation is a*r^(n-1) where a is the starting value, r is the number you are continuously adding, and n is the term you are looking to find
Arithmetic Sequence
It is a sequence of numbers which is called an arithmetic, or linear, sequence.
That's an arithmetic sequence.
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
If I understand your question, you are asking what kind of sequence is one where each term is the previous term times a constant. The answer is, a geometric sequence.
A Fibonacci sequence is a mathematical sequence that starts with zero, and continues by adding the previous two terms. The Fibonacci sequence starts: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. Each term from the second term onwards is achieved by adding the pervious two terms.
Fibonacci sequence
The sequence S = 2, 2, 4, 6, 10, 16, 26, ... is the Fibonacci sequence multiplied by 2. Like the Fibonacci sequence, each term is found by adding the two previous terms, so Sn = Sn-1 + Sn-2.
In an arithmetic sequence the same number (positive or negative) is added to each term to get to the next term.In a geometric sequence the same number (positive or negative) is multiplied into each term to get to the next term.A geometric sequence uses multiplicative and divisive formulas while an arithmetic uses additive and subtractive formulas.
13 This is because each term of the sequence is determined by adding the 2 previous terms of the sequence. This particular sequence is called the Fibonacci Sequence, and has special properties. See related link.