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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:a_n = a + (n-1)di) 11.1 = a + 9dii) 7.1 = a + 49d
i) - ii)...

Answered by • Maths tutor

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I see you did a degree in Biomedical Sciences. Why do you want to be a doctor and not a Biomedical Scientist?

Studying Biomedical Sciences was a great opportunity for me to explore my love for science and it taught me the importance and the power of research as scientific research allows us to create novel ideas ...

Answered by • Medical School Preparation tutor

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I have an infinite number of glass blocks stacked side by side. The first block has refractive index n1, the second n2 and so on, such that n1<n2...<n(infinity). I shine a light on the stack, what angle does the ray make to the normal on the last block?

This question tests your knowledge of the behaviour of light through different mediums. We know that when light travels from air through glass, it tends towards the normal. This is because the glass is de...

Answered by Alex C. • Physics tutor

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Define the different types of respiration.

Respiration is the process of transferring energy throughout cells within an organism. Energy is required for a lot of processes to take place in organisms such as: movement - for muscle contractions to t...

Answered by Sarah W. • Biology tutor

3248 Views

Solve the following simultaneous equations to give a value for both x and y: 3x+3y=9 and 2x+3y=5

Subtract the bottom equation from the top equation to get 3x-2x=9-5 (you don't see no y values in this equation as the y's have disappeared and cancelled eachother out as 3y-3y=0)2) So 3x-2x=9-5 equ...

Answered by Amy F. • Maths tutor

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