To find the Tn expression for the series 1+9+90+900+9000+...?

More Mason Lee's questions See All

Can a biotechnology graduate study bioengineering Master?

I am a biotechnology graduate. I have grown interest into synthetic biology, neuroimaging, biomolecule engineering, bioomedical engineering, bionanotechnology, etc. Can a science student without a...

02 March 2016 4,340 0 View

What does this equation mean?

I have come out with my own equation(I have no idea whether it is new) for pie : π = √2/2 x n x √((1-cos(dΘ)), where n is the number of triangles in the circle, and dΘ is the angle of the...

03 April 2015 9,270 3 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

1. If I can quantize the atom using this hyperbolic spiral and classical physics, could nature do the same?

If we map as a continuous motion an ionising electron (beginning its journey at n=1) in an H atom, a specific hyperbolic spiral appears (see animation). When we solve this spiral formula, we find...

07 August 2024 5,343 2 View

How are iso-frequency contours plotted?

Let's say we have a standard, regular hexagonal honeycomb with a 3-arm primitive unit cell (something like the figure attached; the figure is only representative and not drawn to scale). The...

07 August 2024 1,937 1 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

Is the zero-zero component of the metric tensor equal to 1 for accelerating reference frames?

Consider the case of negligible gravity but there is an accelerating reference frame. Its origin traces out a trajectory, or world line, seen in some inertial reference frame. The Lorentz metric...

24 July 2024 1,608 15 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

Radoslaw Jedynak

Dear Mason,

I suppose it should be given by the following formula:

T1=1

Tn=9*10^(n-2) for n>1

Raul Simon

What is T_n?

M. M. Ahmed

Answer is given in the attached file

Thank you, Ahmed. If T_n is the general term of the given series, then T_n = 1 for n = - 1, and T_n = 9x10exp(n) for n not less than 0. Then, the sum of T_n from n = - 1 to n = N - 1 is 10exp(N).