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You are given a sequence of numbers: -2, 12, 32, 58, 90, ... Work out the 7th term in this sequence.

This is a question from Higher Tier and involves 1) realising that 2nd difference is a constant: 6. 2) knowing that constant 2nd difference implies the sequence is quadratic. 3) remembering or proving tha...

MV
Answered by Maxym V. Maths tutor
4944 Views

Find the constant term in the binomial expansion of (3x + 2/(x^2))^33

Recall that the general term in the binomial expansion of (x+y)^n is (nCr)(x^n-r)(y^r), so by the binomial theorem, the entire expansion is the sum of these terms from r = 0 to n. In this case, n = 33, th...

EG
Answered by Elias G. Maths tutor
7175 Views

Explain two reasons why the ratio decidendi of a case may sometimes be difficult to establish.

One of the key reasons why the ration decidendi of a case may be difficult to establish is that judgements are often written in a discursive manner so it is difficult to extract that main reasons for the ...

AH
Answered by Amy H. Law tutor
13589 Views

To what extent was poor military leadership the main cause for Italy's poor performance during the First World War?

  • In order to answer this question, it is essential to dissect the question into exactly what it is asking you to cover in your answer. There is clearly a factor you must take into consideration whils...
FK
Answered by Flora K. History tutor
2587 Views

How significant was economic distress in the February revolution of 1917?

Overall the economic distress provided a catalyst for the February revolution to take place in 1917, due to the majority of peasants at the time living in poverty, which was partly caused by the policies ...

LM
Answered by Lily M. History tutor
10590 Views

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