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What is the common ratio in this geometric sequence 7?
A single number does not constitute a sequence.
What is the common ratio of the geometric sequence 625 125 25 5 1?
It is 0.2
What is the common ratio in this geometric sequence 3 12 48?
The ratio is 4.
What is a geometric compass?
A geometric compass is an instrument, or a tool, used in plane geometry to draw arcs and circles. Not to be confused with the geometric and military compass invented by Galileo.
What is the 12th term in a geometric sequence that has a first term of 6 and a common ratio of 3?
It is 1062882.
How do you solve geometric sequence and series?
There can be no solution to geometric sequences and series: only to specific questions about them.
What does Geometric Series represent?
A geometric series represents the partial sums of a geometric sequence. The nth term in a geometric series with first term a and common ratio r is:T(n) = a(1 - r^n)/(1 - r)
Is 0.21525 geometric or arithmetic?
The term "0.21525" itself does not indicate whether it is geometric or arithmetic, as it is simply a numerical value. To determine if a sequence or series is geometric or arithmetic, we need to examine the relationship between its terms. An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio. If you provide a series of terms, I can help identify its nature.
How can you tell if a infinite geometric series has a sum or not?
The geometric series is, itself, a sum of a geometric progression. The sum of an infinite geometric sequence exists if the common ratio has an absolute value which is less than 1, and not if it is 1 or greater.
Is the sum of two geometric sequence a geometric sequence?
No.
Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
What is the term for A sequence of numbers in which the ratio between two consecutive numbers is a constant?
A geometric series.
How do you find the common ratio in a geometric sequence?
Divide any term in the sequence by the previous term. That is the common ratio of a geometric series. If the series is defined in the form of a recurrence relationship, it is even simpler. For a geometric series with common ratio r, the recurrence relation is Un+1 = r*Un for n = 1, 2, 3, ...
What is the r value of the following geometric sequence -81 54 -36 12?
This is not a geometric series since -18/54 is not the same as -36/12
What is a series of numbers called?
A series of numbers is often referred to as a "sequence." In mathematics, a sequence is an ordered list of numbers, where each number is called a term. If the sequence is generated by a specific rule or pattern, it can also be classified as an arithmetic or geometric sequence, among others. A series can also refer to the sum of the terms of a sequence.
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.
What is a shifted geometric sequence?
a sequence of shifted geometric numbers
