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Consider the arithmetic sequence 5,7,9,11, …. Derive a formula for (i) the nth term and (ii) the sum to n terms. (iii) Hence find the sum of the first 20 terms.

We can easily identify the first term (5)

The common difference can be found by subtracting the nth term from the (n+1)th term

7-5=9-7=11-9=2

Therefore:

U...

JN
Answered by Jan Niklas F. Maths tutor
6693 Views

How to structure an answer to the question: 'Assess the view that Lenin’s rule between 1917 and l924 was merely a brutal dictatorship'.

First, we could ask if we both think that Lenin’s rule can simply be reduced to a ‘brutal dictatorship’. Do we not need to be more specific if we are going to properly understand the specificities of Russ...

EN
Answered by Edward N. History tutor
2724 Views

State the key assumptions and characteristics of a competitive market and outline the difference between the short-run and the long-run.

Perfect competition is a market structure defined by several key assumptions: a large number of firms, identical (homogenous) products, no barriers to entry (free entry and exit), perfect information and ...

JN
3120 Views

Differentiate y=(3x-1)/(2x-1)

First, recognise that the function is a fraction and recall the quotient rule.     y=u/v     dy/dx=(vu'-uv')/v2, where u' and v' is the derivative...

MM
Answered by Martin M. Maths tutor
6999 Views

Rationalise the following: { 5 } / { 3 - sqrt(2) }

The aim here is to turn the fraction so that the denominator does not have a surd. 

Given that we know that any surd squared is equal to the number itself, i.e sqrt(2) * sqrt(2) eq...

AS
Answered by Amin S. Maths tutor
5513 Views

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