If a(k)/a(k-1)=[(k-1)(2k-1)]/[(k+2)(2k-3)], find an expression for a(k)/a(1). Hence, evaluate ∑a(k) as k goes from 1 to infinity when a(1)=2/9.

More Ivan Alim's questions See All

Fourier analysis

When I read about Fourier transform, there are several definitions about Fourier transform. It is because there are several conventions about it. Which kind of definition should I refer to?...

10 November 2011 676 12 View

Do you know how to derive Leibnit'z formula in integrating the multivariable function?

Integration

07 August 2011 10,039 2 View

What is the difference between mathematical R^4 space and physical 4D unit space?

We assume that the difference is huge and that it is not possible to compare the two spaces. The R^4 mathematical space considers time as an external controller and the space itself is immobile in...

10 August 2024 6,678 14 View

Should I remove an item from a scale to raise Cronbach's alpha and McDonald's omega or is it better to leave it if they are both over .7 already?

Hello! I have this scale which had 10 items initially. I had to remove items 8 and 10 because they correlated negatively with the scale, and then I removed item 9 because Cronbach's alpha and...

01 August 2024 4,606 7 View

Why 3 replicates for most biological assays? Is it enough to examine the data fits normal distribution?

Just bounced on me. Before statistically analysing significant difference, shouldn't we see if data fits normal distribution first? Is 3 replicates enough to testify the hypothesis of normal...

31 July 2024 8,141 13 View

Posthoc test lettering in JAMOVI?

Does anyone know of a module for the JAMOVI software that is capable of generating mean separations using the classic letters based on post hoc results (e.g., Tukey test)? If, as I believe, such...

31 July 2024 3,333 4 View

All math can be explained by iterator of code?

all math can be traversed by code? all math can be translate to code?

26 July 2024 9,530 0 View

Can we eliminate the stress singularity at the tip of the crack by manipulating the elastic constants?

The aim of the research here is to prevent the propagation of the crack in the fabricated elastic medium with useful applications.

25 July 2024 9,976 3 View

Given the current advances in Super Computation and Quantum Computing, what are the missing link between the Applied AI and Ultra Smart Cyberspace?

In recent years, quantum computing has emerged as a groundbreaking technology with the potential to revolutionize various fields, including artificial intelligence (AI). AI has already made...

17 July 2024 1,398 3 View

Suggestion for PhD Research Topic/Topics in Applied Statistics?

Hi All I recently get admission in PhD statistics. After a long discussion with my supervisor, the topic I selected for PhD is " Air Pollution and its impact on Economy: A case study of...

15 July 2024 1,820 5 View

How can I extract the mathematical equation from existing Neural Network Model?

There exists a neural network model designed to predict a specific output, detailed in a published article. The model comprises 14 inputs, each normalized with minimum and maximum parameters...

14 July 2024 2,714 3 View

Does anyone know, any conference related to "mathematical data compression" topic?

Please suggest me, I want to present my research work.

13 July 2024 1,461 1 View

Antti Rasila

I think this can be done by using the Z-transform, but it is going to be a long calculation. Do you need an expression, or is a numerical answer enough?

Ivan Alim

Antti Rasila: It does not need to use Z transform. I want both the expression and the answer. The sum of it is in exact form.

Gro Hovhannisyan

A(k)=(2k-1)a(1)/[k(k+1)(k+2)],

∑a(k)=a(1)∑[3/(k+1)-1/(2k)-5/(2k+4)= 3 a(1)/4

Gro Hovhannisyan: You forget the factor 6.