# Find a formula for the general term $a_n$ of the sequence, assuming that the pattern of the first few terms continues.

Mathematics Asked by Andrew Lewis on November 27, 2020

$${4, -2, 4, -2, dots}$$

$$a_n = ?$$

What is the formula for the general term $$a_n$$ of the sequence?

I know that it starts in the numerator with $$(-1)^{n-1}$$ in order to alternate between positive and negative, but I can’t seem to figure out the rest.

The homework problem I am working on requires it to be a non-piecewise function.

$$a_n=1-3cdot(-1)^n$$ works if you don't want a piecewise definition

Answered by OnlyDay on November 27, 2020

## Related Questions

### Binomial conditional on Poisson

0  Asked on November 16, 2021 by linhares

### In infinite dimensions, is it possible that convergence of distances to a sequence always implies convergence of that sequence?

2  Asked on November 16, 2021 by nikhil-sahoo

### How to express birational equivalence of Diophantine equation $x^4+y^4=z^2$ and elliptic curve?

1  Asked on November 16, 2021 by andrew-li

### How to solve these kind of Modular Arithmetics situations?

0  Asked on November 16, 2021 by rubenszinho

### Can you find an invertible submatrix?

1  Asked on November 16, 2021 by user326210

### Bounded linear map which is not continuous

2  Asked on November 16, 2021

### Is $(mathbb{Z}, times)$ also a group?

4  Asked on November 16, 2021

### IMO problems, can someone help me to learn problem solving skills?

0  Asked on November 16, 2021

### Probability that $max(X_1, ldots, X_n) – min(X_1, ldots, X_n) leq 0.5$

3  Asked on November 16, 2021

### Can $y=10^{-x}$ be converted into an equivalent $y=mathrm{e}^{-kx}$?

4  Asked on November 16, 2021

### Solving $left(x-c_1frac{d}{dx}right)^nf(x)=0$ for $f(x)$

3  Asked on November 16, 2021

### What is an intuitive approach to solving $lim_{nrightarrowinfty}biggl(frac{1}{n^2} + frac{2}{n^2} + frac{3}{n^2}+dots+frac{n}{n^2}biggr)$?

11  Asked on November 16, 2021

### Why does the Binomial Theorem use combinations and not permutations for its coefficients?

5  Asked on November 16, 2021 by jor

### The convergence of the improper integral $int_{0}^inftyfrac{sin^2(x)}{x^{5/2}},dx$

3  Asked on November 16, 2021

### Taking the matrix derivative of the product of one matrix and a Hadamard Product.

2  Asked on November 16, 2021

### Is Basic Mathematics by Serge Lang rigorous?

1  Asked on November 16, 2021 by bonsoir

### Variance Estimator in Simple Random Sampling Without Replacement

1  Asked on November 16, 2021 by guilty_scene

### Has anyone attempted solving the Poincaré conjecture using Lie groups?

0  Asked on November 16, 2021 by paul-cusson

### General integral $int_0^{frac{pi}{p}}lntan x ,dx$

3  Asked on November 16, 2021 by naren

### Evaluating $I=oint frac{cos(z)}{z(e^{z}-1)}dz$ along the unit circle

1  Asked on November 16, 2021 by random-name