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Goemetric sequence :

A sequence is a goemetric sequence if an/an-1is the same non-zero number for all natural numbers greater than 1.

Arithmetic sequence :

A sequence {an} is an arithmetic sequence if an-an-1 is the same number for all natural numbers greater than 1.

Q: What is the difference between a geometric sequence and arithmetic sequence?

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The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".

To check whether it is an arithmetic sequence, verify whether the difference between two consecutive numbers is always the same.To check whether it is a geometric sequence, verify whether the ratio between two consecutive numbers is always the same.

It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.

what is the recursive formula for this geometric sequence?

The sequence is arithmetic if the difference between every two consecutive terms is always the same.

Related questions

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.

The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.

To check whether it is an arithmetic sequence, verify whether the difference between two consecutive numbers is always the same.To check whether it is a geometric sequence, verify whether the ratio between two consecutive numbers is always the same.

The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".

An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.

No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant

They differ in formula.

It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.

what is the recursive formula for this geometric sequence?

The sequence is arithmetic if the difference between every two consecutive terms is always the same.