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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
6779 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
3191 Views

Explain the concept of price elasticity of demand.

Price elasticity of demand or PED is a very useful concept in microeconomics. In order to understand this, lets quickly talk about what demand is. Demand in economics refers to the willingness and ability...

AD
Answered by Abheek D. Economics tutor
6269 Views

If a body is projected from the ground at the angle of 30 degrees to the horizontal with the initial velocity of 20 m/s, what maximum height and range is it going to reach?

It is possible to solve this using equations for projectile motion that can be found in the majority of formula booklets. However, since they are not always available, it is good to understand where they ...

TH
Answered by Tomasz H. Physics tutor
4858 Views

How far did Stalin meet his industrial and agricultural aims before 1945?

Stalin's aims for the USSR before the second World War are commonly seen as wanting to industrialise the nation, re-arm in case of a future war, and rid society of kulaks (richer peasants) as to be able t...

SO
Answered by Samuele O. History tutor
1934 Views

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