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Prove that ∑(1/(r^2 -1)) from r=2 to r=n is equal to (3n^2-n-2)/(4n(n+1)) for all natural numbers n>=2.

To prove the above statement we will be using proof by induction as this is the easiest way to prove that the statement holds for all natural numbers n>=2. Firstly, when proving by induction there are ...

SP
3648 Views

There are 10 boys and 20 girls in a class. The mean mark in a test for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.

First let us consider how we calculate the mean test mark in the first place, we add up the individual test marks of the entire class to give the total test mark then we divide by the number of students. ...

AD
Answered by Adam D. Maths tutor
63588 Views

Give a definition/explanation for the term 'phenotype'

A phenotype is the expression of the genetic constitution of an organism and how it interacts with the environment.

FS
Answered by Frankie S. Biology tutor
2366 Views

Which of these nucleotide bases is NOT present in RNA: Cytosine, Thymine, Guanine, Adenine, Uracil

The correct answer is: Thymine.The four bases found in DNA molecules are Cytosine, Guanine, Adenine and Thymine but in RNA molecules, the Thymine base is replaced by Uracil.

FS
Answered by Frankie S. Biology tutor
20038 Views

How does saltatory conduction work?

Most axons in the human nervous system are myelinated, meaning they are enclosed in a myelin sheath, a fatty deposit created and maintained by Schwann cells that acts as an electr...

ZC
Answered by Zoe C. Biology tutor
26308 Views

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