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

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.

### 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.

### 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…

### 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)…

### 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 the Relation between geometric mean and arithmetic mean?

The mean of the numbers a1, a2, a3, ..., an is equal to (a1 + a2 + a3 +... + an)/n. This number is also called the average or the arithmetic mean. The geometric mean of the positive numbers a1, a2, a3, ... an is the n-th roots of [(a1)(a2)(a3)...(an)] Given two positive numbers a and b, suppose that a< b. The arithmetic mean, m, is then equal to (1/2)(a + b), and, a, m…

### Difference between AP series GPs reis?

AP - Arithmetic Progression GP - Geometric Progression AP: An AP series is an arithmetic progression, a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 3, 5, 7, 9, 11, 13, … is an arithmetic progression with common difference 2. If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is…

### 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.

### What are the Different kinds of sequence and its meaning?

The are very many different kinds. Amongst them are: arithmetic sequence: there is a constant [additive] difference between successive terms. geometric sequence: there is a constant [multiplicative] ratio between successive terms. recursive sequence: given two or more "seeds", each term is generated by an expression relating previous terms with the current term. random sequence: where it is no possible to predict the next number even with full information about all the previous terms. spliced sequences…