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It appears in any system where the growth (or decrease), at any stage is dependent on the level reached.

Common examples:

Compound interest (surely, nobody, except elementary maths pupils, uses simple interest!).

Depreciation.

Radioactive decay.

Also,

Pyramid selling schemes - until they hit the buffers of saturation!

Q: What is the importance of geometric progression?

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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".

The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.

Immediately springing to mind, geometric progression is used in accountancy in finding the Net Present Value of projects (specifically, the value of money each year based on the discount factor). It is also used in annuities, working out monthly repayments of loans and values of investments - compound interest is a geometric progression.

Geometric progression 1, 4, 16, 64, 256 would seem to fit...

Divide any term, except the first, by the term before it.

Related questions

i need mathematical approach to arithmetic progression and geometric progression.

Gauss

=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....=

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".

The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.

Immediately springing to mind, geometric progression is used in accountancy in finding the Net Present Value of projects (specifically, the value of money each year based on the discount factor). It is also used in annuities, working out monthly repayments of loans and values of investments - compound interest is a geometric progression.

It is a geometric progression.

Arithmetic progression and geometric progression are used in mathematical designs and patterns and also used in all engineering projects involving designs.

· geometric progression · geometry

The geometric series is, itself, a sum of a geometric progression. The sum of an infinite geometric sequence exists if the common ratio has an absolute value which is less than 1, and not if it is 1 or greater.

the population will exhaust the food supply

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