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The first three terms of an arithmetic series are p, 5p – 8, and 3p + 8 respectively. (a) Show that p=4 (b) Find the value of the 50th term in the series.

(a) If the sequence = p , 5p-8 and 3p+8 is an arithmetic sequence then the difference between successive terms must be constant.e.g. (5p-8)-(p) = (3p+8)-(5p-8)=> 4p-8 = -2p+16 => 6p = 24 => p=24/...

DS
Answered by Daniel S. Maths tutor
11779 Views

How accurate is it to say that Stalin’s use of terror in the 1930s was fundamentally similar to Lenin’s use of terror in the years 1918–24?

The answer should reach a judgement on how accurate it is to say that Stalin’s use of terror in the 1930s was fundamentally similar to Lenin’s use of terror in the years 1918–24. The introduction might ou...

EB
Answered by Erika B. History tutor
15734 Views

How does the process of eutrophication work?

As we know, fertilisers are used by farmers to increase crop yield, and artificial fertilisers in particular are very high in nutrients such as phosphorus and nitrogen which stimulate plant growth. Howeve...

DH
Answered by Daisy H. Biology tutor
6906 Views

GCSE English Language (AQA), paper 1, Q3... How has the writer structured the text to interest you as a reader?

First, remember that this exam question is the hardest and, across both papers, is only worth 8 marks from the 160 on offer. So don’t panic too much! You’ll have many other opportunities to pick up marks....

Answered by English tutor
7513 Views

An arithmetic progression has a tenth term (a10) = 11.1 and a fiftieth term (a50) = 7.1 Find the first term (a) and the common difference (d). Also find the sum of the first fifty terms (Sn50) of the progression.

We start off by constructing simultaneous equations as there are two variables - a and d - that we do not know. We use the formula:an = a + (n-1)di) 11.1 = a + 9dii) 7.1 = a + 49d
i) - ii)...

Answered by Maths tutor
4655 Views

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