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Prove that the sum of squares of the first n natural numbers is n/6(n+1)(2n+1)

In order to do this we must follow the standard procedure for a proof by induction which is to first check a base case:Let n = 1, then the sum can be written as 12 = 1/6(1+1)(2+1) = 1 as requir...

TD
5686 Views

How might we implement the bubble sort algorithm in Python

Largely shown in code with a talk-through of what I'm doing. First discuss what the algorithm is doing, then talk through Python implementation with pythonic practices in mind e.g. why use a function, and...

TD
2222 Views

What mass of sodium hydroxide would need to be dissolved to make 100 cm^3 of a 0.5 mol dm^-3 solution? (3 marks)

Number of moles = (0.5 x 100)/1000 = 0.05 moles (1 mark)Molar mass, M, of NaOH = 23 + 16 + 1 = 40 (1 mark)Mass of NaOH needed = moles x M = 0.05 x 40 = 2g (1 mark)correct answer alone scores 3 markscorrec...

AA
Answered by Aarif A. Chemistry tutor
8532 Views

I've heard the word supertonic before. What does this mean?

Each of the seven scale degrees in the major and minor scales has been given a fancy name:TonicSupertonicMediantSubdominantDominantSubmediantLeading toneThese names are often used when re...

LG
Answered by Liam G. Music tutor
4809 Views

Assess the positive and negative impacts of rapid development on either a named developing or emerging country.

India
Rapid development has led to both positive and negative social, economic and environmental impacts in India. Rapid development has led to improved health care which has positive social impacts ...

RJ
Answered by Rhys J. Geography tutor
23438 Views

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