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Q: What are the differences between arithmetic and geometric sequences?
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Difference between geometric mean and arithimetic mean?

You can find the differences between arithmetic and geometric mean in the following link: "Calculation of the geometric mean of two numbers".


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 diffeence between the term to term rule and the common difference in maths?

The common difference does not tell you the location of the sequence. For example, 3, 6, 9, 12, ... and 1, 4, 7, 10, .., or 1002, 1005, 1008, 1011, ... all have a common difference of 3 but it should be clear that the three sequences are different. A common difference is applicable to arithmetic sequences, not others such as geometric or exponential sequences.


Is sequence 3 9 91 6561 A arithmetic B geometric or c neither?

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.


What is the difference between an arithmetic series and a geometric series?

An arithmetic series is the sequence of partial sums of an arithmetic sequence. That is, if A = {a, a+d, a+2d, ..., a+(n-1)d, ... } then the terms of the arithmetic series, S(n), are the sums of the first n terms and S(n) = n/2*[2a + (n-1)d]. Arithmetic series can never converge.A geometric series is the sequence of partial sums of a geometric sequence. That is, if G = {a, ar, ar^2, ..., ar^(n-1), ... } then the terms of the geometric series, T(n), are the sums of the first n terms and T(n) = a*(1 - r^n)/(1 - r). If |r| < 1 then T(n) tends to 1/(1 - r) as n tends to infinity.

Related questions

Differences between harmonic mean and geometric mean?

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


What are the differences between harmonic mean and geometric mean?

You can find the differences between arithmetic and geometric mean in the following link: "Calculation of the geometric mean of two numbers". Cheers ebs


Difference between geometric mean and arithimetic mean?

You can find the differences between arithmetic and geometric mean in the following link: "Calculation of the geometric mean of two numbers".


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 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 difference between AP series and GP series?

Succession of numbers of which one number is designated as the first, other as the second, another as the third and so on gives rise to what is called a sequence. Sequences have wide applications. In this lesson we shall discuss particular types of sequences called arithmetic sequence, geometric sequence and also find arithmetic mean (A.M), geometric mean (G.M) between two given numbers. We will also establish the relation between A.M and G.M


What is the difference between arithmetic mean and geometric mean?

They differ in formula.


Difference between geometric mean and arith metic 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 diffeence between the term to term rule and the common difference in maths?

The common difference does not tell you the location of the sequence. For example, 3, 6, 9, 12, ... and 1, 4, 7, 10, .., or 1002, 1005, 1008, 1011, ... all have a common difference of 3 but it should be clear that the three sequences are different. A common difference is applicable to arithmetic sequences, not others such as geometric or exponential sequences.


Is the sequence 2 3 5 8 12 arithmetic or geometric?

Well, honey, neither. That sequence is a hot mess. In an arithmetic sequence, you add the same number each time, and in a geometric sequence, you multiply by the same number each time. This sequence is just doing its own thing, so it's neither arithmetic nor geometric.


What is the difference between an arithmetic sequence and a geometric sequence?

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.


What is a common difference in algebra?

Common difference, in the context of arithmetic sequences is the difference between one element of the sequence and the element before it.