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Is constant sequence an AP?

It is an arithmetic sequence (with constant difference 0), or a geometric sequence (with constant ratio 1).


What is the difference between succeeding terms called?

The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.


What is the difference between an arithmetic and geometric sequence?

An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.


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.


Which explains why the sequence 216 12 23 is arithmetic or geometric?

The sequence 216 12 23 is neither arithmetic nor geometric.


How can a sequence be both arithmetic and geometric?

A sequence can be both arithmetic and geometric if it consists of constant values. For example, the sequence where every term is the same number (e.g., 2, 2, 2, 2) is arithmetic because the difference between consecutive terms is zero, and it is geometric because the ratio of consecutive terms is also one. In such cases, the sequence meets the criteria for both types, as both the common difference and the common ratio are consistent.


Is the following sequence of numbers arithmetic geometric or neither 01492536?

Since there is only one number, there is no sensible answer.


How do arithmetic and geometric sequences compare to continuous functions?

an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.


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.


Are the numbers 24711 arithmetic or geometric and what are the next two terms in the sequence?

The numbers 2, 4, 7, 11 are neither strictly arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. Here, the differences between terms are 2, 3, and 4, suggesting a pattern of increasing increments. Following this pattern, the next two terms would be 16 (11 + 5) and 22 (16 + 6).


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.


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

The sequence 2, 3, 5, 8, 12 is neither arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. In this sequence, there is no constant difference or ratio between consecutive terms, so it does not fit the criteria for either type of sequence.