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Prove by induction that the sum from r=1 to n of (2r-1) is equal to n^2.

Firstly, we note that there are 4 key steps for any proof by induction. (1) Basis : check the statement works for n=1. (2) Assumption : assume the statement is true for n=k. (3) Induction : prove the stat...

Answered by Jasmine L. • Further Mathematics tutor

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There are 4 blue balls, 2 red balls, and 5 green balls in a bag. James removes one ball and does not replace it. James removes a second ball. What is the probability that both balls will be the same colour.

Total number of balls = 4 + 2 + 5 = 11 (this is our denominator for first draw)Numerator is the number of each colour. When we remove a ball the denominator and numerator for that colour decrease by 1. P(...

Answered by Caleb W. • Maths tutor

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How should I effectively use my reading time prior to a listening exam?

Before the audio track fully begins, you are given five minutes to read through the paper. It may not always make sense as to why you have this time in the exam, but it is definitely there to help you!

Answered by • Spanish tutor

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How far does media ownership affect consumption of media texts in the media area you have studied?

Specific Example:Media Area is Film.Case studies are Wonder Woman, Tank432 and Monsters.Media ownership has a large affect on consumption of film; primarily it depends on the budge...

Answered by Polina K. • Media Studies tutor

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What should I say when asked to talk about the dynamics of a piece?

Begin by making a judgement on whether the music sounds piano (quiet) or forte (loud). This gives you a solid baseline on which the answer can be built from. It's okay to fine tune the answer later if you...

Answered by • Music tutor

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