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How do I do a proof by induction?

For this explanation we will use the following example from a 2013 exam paper:

If u₁= 2 and u_n+1=(5u_n-3)/(3u_n-1), then prove that u_n

Answered by Samuel C. • Further Mathematics tutor

4409 Views

How do I find the integral ∫(ln(x))^2dx ?
This problem is all about using integration by parts, so let's start by quoting the formula for integration by parts:

SC
Answered by Samuel C. • Maths tutor
11342 Views

What is the force on a moving charged particle in a magnetic field, and why is no work done by this force when it accelerates the particle?
A particle with electric charge q, mass m and velocity v in a constant magnetic field B...
RP
Answered by Rich P. • Physics tutor
12734 Views

What is Pythagoras's theorem?
For any right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is the sum of the square of the remaining two sides.

BM
Answered by Bhavika M. • Maths tutor
4682 Views

How can I help you get in to medical school?
I recently got in to medical school and I know how hard it is. Taking Bristol med school, for example, there were around 4,500 applicants but only 220-or-so places; it is intensely competitive.

PQ
Answered by Patrick Q. • Medical School Preparation tutor
3411 Views
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Top answers

How do I do a proof by induction?

How do I find the integral ∫(ln(x))^2dx ?

What is the force on a moving charged particle in a magnetic field, and why is no work done by this force when it accelerates the particle?

What is Pythagoras's theorem?

How can I help you get in to medical school?

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