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In an arithmetic progression the difference between each term (except the first) and the one before is a constant. In a geometric progression, their ratio is a constant.
That is,
Arithmetic progression
U(n) - U(n-1) = d, where d, the common difference, is a constant and n = 2, 3, 4, ...
Equivalently,
U(n) = U(n-1) + d = U(1) + (n-1)*d
Geometric progression
U(n) / U(n-1) = r, where r, the common ratio is a non-zero constant and n = 2, 3, 4, ...
Equivalently,
U(n) = U(n-1)*r = U(1)*r^(n-1).
What else can I help you with?
What is the mathematical concept of arithmetic progression?
i need mathematical approach to arithmetic progression and geometric progression.
What are the applications of arithmetic progression and geometric progression in business applications?
=Mathematical Designs and patterns can be made using notions of Arithmetic progression and geometric progression. AP techniques can be applied in engineering which helps this field to a large extent....=
What is the difference between arithmetic mean and geometric mean?
Arhithmetic progression is linear, while geometric grows in a parabolic way (a curve).
Why is geometric progression preferred over arithmetic progression?
The question cannot be answered because it assumes something which is simply not true. There are some situations in which arithmetic progression is more appropriate and others in which geometric progression is more appropriate. Neither of them is "preferred".
Practical use of arithmetic progression?
Arithmetic progression and geometric progression are used in mathematical designs and patterns and also used in all engineering projects involving designs.
What is the sum of the first 15 terms of an arithmetic?
For an Arithmetic Progression, Sum = 15[a + 7d].{a = first term and d = common difference} For a Geometric Progression, Sum = a[1-r^15]/(r-1).{r = common ratio }.
Is -10 -6 -2 2 6 arithmetic or geometric or neither?
Its an arithmetic progression with a step of +4.
What is the difference between arithmetic progression and geometric progression?
In an arithmetic progression the difference between each term (except the first) and the one before is a constant. In a geometric progression, their ratio is a constant. That is, Arithmetic progression U(n) - U(n-1) = d, where d, the common difference, is a constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1) + d = U(1) + (n-1)*d Geometric progression U(n) / U(n-1) = r, where r, the common ratio is a non-zero constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1)*r = U(1)*r^(n-1).
What is the difference between geometric mean and arithmetic mean?
The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".
What is the uses of arithmetic progression?
When quantities in a given sequence increase or decrease by a common difference,it is called to be in arithmetic progression.
What is arithmetic mean and geometric mean?
The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".
Can zero be common difference for arithmetic progression?
Yes but the progression would be a degenerate one.
