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Is 1 1 1 1 an arithmetic sequence?

Updated: 4/28/2022
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Yes.

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Q: Is 1 1 1 1 an arithmetic sequence?
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Is 1 11 an arithmetic sequence?

Any pair of numbers will always form an arithmetic sequence.


Who was the founder of arithmetic sequence?

One of the simplest arithmetic arithmetic sequence is the counting numbers: 1, 2, 3, ... . The person who discovered that is prehistoric and, therefore, unknown.


What describes the sequence 1 1 2 3 5 is it arithmetic or geometric?

It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.


Can a recursive formula produce an arithmetic or geometric sequence?

arithmetic sequence * * * * * A recursive formula can produce arithmetic, geometric or other sequences. For example, for n = 1, 2, 3, ...: u0 = 2, un = un-1 + 5 is an arithmetic sequence. u0 = 2, un = un-1 * 5 is a geometric sequence. u0 = 0, un = un-1 + n is the sequence of triangular numbers. u0 = 0, un = un-1 + n(n+1)/2 is the sequence of perfect squares. u0 = 1, u1 = 1, un+1 = un-1 + un is the Fibonacci sequence.


Is constant sequence an AP?

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

Related questions

Is 1 2 3 4 5 an arithmetic sequence?

It is the start of an arithmetic sequence.


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.


Is 1 11 an arithmetic sequence?

Any pair of numbers will always form an arithmetic sequence.


Why is 11111 an arithmetic sequence?

A single number, such as 11111, cannot define an arithmetic sequence. On the other hand, it can be the first element of any kind of sequence. On the other hand, if the question was about ``1, 1, 1, 1, 1'' then that is an arithmetic sequence as there is a common difference of 0 between each term.


Rule to finding terms in a arithmetic sequence?

The nth term of an arithmetic sequence = a + [(n - 1) X d]


Who was the founder of arithmetic sequence?

One of the simplest arithmetic arithmetic sequence is the counting numbers: 1, 2, 3, ... . The person who discovered that is prehistoric and, therefore, unknown.


What is the history of a arithmetic sequence?

origin of arithmetic sequence


What is a infinite arithmetic sequence?

It is an arithmetic sequence for which the index goes on and on (and on).


What describes the sequence 1 1 2 3 5 is it arithmetic or geometric?

It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.


Can a recursive formula produce an arithmetic or geometric sequence?

arithmetic sequence * * * * * A recursive formula can produce arithmetic, geometric or other sequences. For example, for n = 1, 2, 3, ...: u0 = 2, un = un-1 + 5 is an arithmetic sequence. u0 = 2, un = un-1 * 5 is a geometric sequence. u0 = 0, un = un-1 + n is the sequence of triangular numbers. u0 = 0, un = un-1 + n(n+1)/2 is the sequence of perfect squares. u0 = 1, u1 = 1, un+1 = un-1 + un is the Fibonacci sequence.


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 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.