3 The ninth term of an arithmetic progression is 22 and the sum of the first 4 terms is 49.(1) Find the first term of the progression and the common difference. [4]The nth term of the progression is 46.(ii) Find the value of n. [2] ...
Thus, the sides of right triangle CDE are in arithmetic progression. Thus it is similar to the triangle 3-4-5 and since CD=2, CE=\dfrac{5}{2}.|x^2-2x^2|.Let us call the midpoint of side AB, point G. Since the semicircle has radius 1, we can do the Pythagorean theorem on ...
A few weeks ago, I e-mailed Will Sawin excitedly to tell him that I could extend the new bounds on three-term arithmetic progression free subsets of to . Will politely told me that I was the third team to get there — he and Eric Naslund already had the result, as did Fedor Petrov...
If the former is in; arithmetic progression, the latter is in geometric progression.That is why peace loversrblame science as a curse. It is said that Mathematics makes man subtle and history makes man wise. Likewise, science upgrades the human intellect. It supplements him with acute knowledge...
different eyepiece FL's produce. My question was might be the underlying fundamental physics behind the progression. Why the magnification change starts small but grows to infinity as one gets to smaller FL's. Does the progression have a counterpart in unrelated fields. Does it even have a ...
9 (a) In an arithmetic progression the sum of the first ten terms is 400 and the sum of the next ten terms is 1000. Find the common difference and the first term.[5](b) A geometric progression has first term a. common ratio r and sum to infinity 6. A second geometric progression...
8 (a) An arithmetic progression has 14 terms. The sum of all the odd terms is 161 and the sum of all even terms is 182. Find the last term of the progression.[3 marks](b) Jay works as a supervisor in a factory. Every subsequent year, his monthly salary is increased by 10%. ...
Online courses provide an easy and automated way to monitor student performance and scores because all the data is captured through the entirety of the course. Drawbacks of MOOCs Common drawbacks of MOOCs include the following: No structure. Flexibility can make the course more difficult to manage...
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The majority of her friends have emigrated, she said, spread across London, Manchester and Berlin, describing it as a “natural progression” among young adults, though she described herself as “stubbornly optimistic”. “I love Ireland and I want to stay but the current situation means it’...