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Prove by induction that the nth triangle number is given by n(n+1)/2

base case: (1 x 2)/2 = 1 as required inductive step: assuming statement holds for n=k, the (k+1)th triangle number is given by k(k+1)/2 + (k+1) by definition=(k^2+3k+2)/2=(k+1)(k+2)/2=(k+1)((k+1)+1)/2result ...
CB
Answered by Christopher B. • Maths tutor
4004 Views

How do I form the present conditional tense and when is it used?

To put it simply, we use the conditional tense (le conditionnel) to talk/ speculate about what 'would' happen.It is formed by taking the same stem as the future tense (which in most cases would be the infini...
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Answered by Clare B. • French tutor
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“Peter sets a good example for Christians.” Do you agree? Give reasons for your answer.

I agree that Peter is a good example for Christians as he was the first disciple called by Jesus and one of Jesus' closest friends. He followed Jesus "immediately" when asked to follow him and left...
OH
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How far does Priestley present Mrs Birling as an unlikeable character? In what she says and does in the play, and how Priestly presents her through his writing.

What Mrs Birling says and does throughout: Her general attitude towards others for example, refusing to help Eva Smith when she needed it the most.The phrases she uses throughout, portray a judgmental, snobb...
LB
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Why is a benzene ring so stable (3 marks)?

The p orbitals on each carbon atom in benzene overlapThere is delocalisation of electrons in the ring (not 3 localised C==C double bonds)This makes benzene more thermodynamically stable than predictedIt ther...
AC
Answered by Aadil C. • Chemistry tutor
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