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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.

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โˆ™ 2011-03-04 17:01:54
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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


Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 300,30,3?

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.


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".


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 an arithmetic sequence?

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


Is The Fibonacci sequence arithmetic?

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


What is the difference between arithmetic mean and geometric mean?

They differ in formula.


How do you determine a arithmetic sequence?

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.


How do you determine if a sequence is arithmetic?

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


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 a common difference?

The common difference is the difference between two numbers in an arithmetic sequence.


How is a arithmetic sequence found?

You take the difference between the second and first numbers.Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Keep checking until you think the differences are all the same.That being the case it is an arithmetic sequence.If you have a position to value rule that is linear then it is an arithmetic sequence.


Is 1 1 1 1 1 an arithmetic sequence?

Yes, with a difference of zero between terms. It is also a geometric series, with a ratio of 1 in each case.


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".


A sequence in which the difference between any two consecutive terms is the same?

arithmetic sequence this is wrong


What is an arithmetic sequence?

An arithmetic sequence is a line-up of numbers in which the DIFFERENCE between any two next-door neighbors is always the same.


What is the common difference for these arithmetic sequence?

It is the difference between a term (other than the second) and its predecessor.


What is a sequence of numbers in which the difference between any two consecutive numbers is a constant called?

Arithmetic Sequence


What is the difference between a geometric sequence and a recursive formula?

The two are totally unrelated.


What kind of sequence is the difference between every pair of consecutive terms in the sequence is the same?

in math ,algebra, arithmetic


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.


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 d value of the following arithmetic sequence 16 9 2 5 12 19?

The sequence in the question is NOT an arithmetic sequence. In an arithmetic sequence the difference between each term and its predecessor (the term immediately before) is a constant - including the sign. It is not enough for the difference between two successive terms (in any order) to remain constant. In the above sequence, the difference is -7 for the first two intervals and then changes to +7.


What is a good example of an arithmetic sequence?

An excellent example of an arithmetic sequence would be: 1, 5, 9, 13, 17, in which the numbers are going up by four, thus having a common difference of four. This fulfills the requirements of an arithmetic sequence - it must have a common difference between all numbers.