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Degree: BSc Mathematics (Bachelors) - Warwick University
An undergraduate mathematics student at the University of Warwick (ranked 3rd in the UK for mathematics).
I have several years of experience tutoring in the following subjects:
-Mathematics -Further Mathematics -Physics -AEA -STEP -MAT and more.
- English -Business Studies -Science
I am taught a students of all ages and abilities and can help any individual get to where they want to be.
I achieved 10 A*s at GCSE and 3A*s and 1 A at A-level. This wide range of experience can help me offer expertise in many areas. I also won the Business Studies Prize at my sixth form and achieved 100% in many of my A-level exams including maths, business and physics.
Past student examples:
11 year old maths and english pupil: Tutored to help with entrance exams and general ability. Student was successful in getting into desired school.
18 year old maths A- Level: Helped a B grade student achieved an A* in A level mathematics.
17 year old Business Studies: Tutored a student who had achieved a D at AS level and they came out with a high B at A2.
|Further Mathematics||A Level||£22 /hr|
|Maths||A Level||£22 /hr|
|Maths||13 Plus||£20 /hr|
|Maths||11 Plus||£20 /hr|
|.STEP.||Uni Admissions Test||£25 /hr|
|STEP 1||Uni Admissions Test||1 - 90/120|
|STEP 2 and STEP 3||Uni Admissions Test||2|
|Before 12pm||12pm - 5pm||After 5pm|
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Rearranging the terms of the series into the usual "descending order" for polynomials, we get a series expansion of:
axn-1 +........ax + a
A basic property of polynomials is that if you divide xn – 1 by x – 1, you'll get:
xn–1 + xn–2 + ... + x3 + x2 + x + 1
a(xn–1 + xn–2 + ... + x3 + x2 + x + 1) = a(xn-1)/(x-1)
The above derivation can be extended to give the formula for infinite series, but requires tools from calculus. For now, just note that, for | r | < 1, a basic property of exponential functions is that rn must get closer and closer to zero as n gets larger. Very quickly, rn is as close to nothing as makes no difference, and, "at infinity", is ignored. This is, roughly-speaking, why the rn is missing in the infinite-sum formula.see more