Real-life arithmetic sequence?

Question

also how it would affect you personally

Answer 1

Huh?

Answer 2

Here is a summed arithmetic sequence with surprisingly deep and fruitful consequences:

1/2 + 3/2 + 5/2 + 7/2 + ... + (n - 1)/2 + n/2 = [n^2] / 2.

An application : If a moving object is increasing its speed from rest in such a way that it moves through 1, 3, 5, 7 etc. units of distance in every successive, equal interval of time, then the total distance it will have travelled is [n^2] / 2 distance units.

Such an object has a constant acceleration (in this case equal increments of average speed in equal intervals of time). In the limit when the time unit becomes very small, the results above go over into the well-known equations used by physicists to represent the consequences of uniformly acceleration : v = at, and d = (1/2) a t^2.

So what has this to do with affecting me personally? :

The appreciation that this doesn't just apply to LINEAR motion in a fixed direction, but also to instantaneous circular or elliptical motion, led me to develop a new way of teaching a major introductory astronomy course for non-science majors (sometimes so popular it had over 300 students). It was probably the only course in the world where satellite motion around the Earth was first taught before showing that the period of a swinging pendulum could be understood by insightful re-interpretation of the satellite results.

There were always some students in the class who could make this grand mental leap in the scale of the problem, which showed how well they understood what was going on,even though they were not science students. For me, the knowledge that I had helped them really understand the world at this level was extremely rewarding and gratifying. Their appreciation of my unconventional approaches to such teaching sustained me through some difficult times with colleagues who themselves avoided teaching non-science students at all costs.

Live long and prosper.

Answer 3

by skill of exact existence i could think of you could advise daily element(straight forward makes use of). One sequence i take advantage of plenty is 3,4, and 5 as used interior the Pythagorean Theorem, I and particularly some different use this easy formula to discover a sq. (or ninety degree authentic perspective) in development residences and different issues. in case you pick to sq. perspective for a wall use the three,4,5, mixture or equivalent multiplies like 6,8,10 or 9,12, 15. degree one wall 6 ft, the different 8 ft and utilising 10 because of the fact the hypotenuse you could arise with a squared 2 partitions. different actual existence arithmetic may well be used whilst tuning a piano and listening to the beats of the sound wave the strings are plucked and tuning to 0 beats. i'm hoping that's what you have been desiring!