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If the fourth term in an arithmetic sequence is, u4 = 12.5, the tenth is u10 = 27.5. Find the common difference and the 20th term.

The equations for an arithmetic sequences are 1) Un = u1 + (n - 1)d 2) Sn = n/2(2*u1 + (n-1)d) 3) Sn = n/2(u1 + un) The first step is to calculate the common difference, d. This is done using the first equat...
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Answered by Ndalukile K. • Maths tutor
3112 Views

Solve these simultaneous equations: 3y + x = 18 and x - 4y = -10.

Write x in terms of y using one of the equations. Then substitute it in the second equation, which is then only in terms of y. Find y. Then you can easily find x. Answer: x = 6 and y = 4.
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Answered by Tess E. • Maths tutor
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Analyse the effects on the UK economy of a recession in another economy with trade ties.

A recession is when an economy experiences negative growth in terms of GDP for two or more consecutive quarters. If an economy such as that of the US, a major trading partner, were to enter a recession it co...
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Answered by Luke J. • Economics tutor
10305 Views

Describe the structure of DNA.

DNA is made of a string of nucleotide bases attached to one another by a peptide bond. A single nucleotide contains three regions: A phosphate group, a Carboxyl group and a base. Adjacent nucleotides attach ...
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Answered by Bethan P. • Biology tutor
12167 Views

How do I structure a paragraph in my essay?

When structuring an essay in an exam, it can sometimes be daunting to know where to start. But remembering the simple trick PEEL can be very helpful and make your paragraphs more clear and help the examiner ...
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Answered by Alexandra C. • History tutor
3645 Views