Say I have the numbers 2, 4, 8, 16. I want to find out a way to determine if this sequence is geometric without checking if 4/2=8/4=16/8. Is there are a formula that exists that would help with this?
2026-03-28 21:56:58.1774735018
Way to determine if a sequence is geometric without common ratio
120 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in ARITHMETIC
- Solve this arithmetic question without algebra
- Is division inherently the last operation when using fraction notation or is the order of operation always PEMDAS?
- Upper bound for recursion?
- Proving in different ways that $n^{n-1}-1$ is divisible by $(n-1)^2$.
- Meaning of a percentage of something
- Compare $2^{2016}$ and $10^{605}$ without a calculator
- The older you are, the richer you get?
- Easy question which doesn't make sense to me!
- Calculating diminishing interest amount
- Multiplication Question
Related Questions in GEOMETRIC-SERIES
- Ratio of terms in simple geometric sequence appears inconsistent?
- What is the value of $x_{100}$
- $a, 1, b$ are three consecutive terms of an arithmetic series, find $a, b$ and $S$ of the infinite geometric series
- Proving in different ways that $n^{n-1}-1$ is divisible by $(n-1)^2$.
- Probability of geometric random variables in certain order
- Derivative of a function $y(x)= \sum\limits_{n=1}^\infty nx^{-n}$
- Upper bound on a series: $\sum_{k = M}^{\infty} (a/\sqrt{k})^k$
- Combined geometric and arithmetic series partial sum
- Existence of a geometric series
- Find the value of $R$ such that $\sum_{n=0}^{\infty} \frac{x^n}{n! \cdot (\ln 3)^n} = 3^x, \forall x \in (-R,R)$
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
As this is more or less the definition of a geometric sequence there is no other way to check it. Small variation are possible though as you could take the ratio of $4/2=2$ and then multiply it by each term to see if you get the next term given. This avoids repeated division but is essentially the same method, brute force.