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prove by induction that, f(n) = 2^(3n+1) + 3(5^(2n+1)) is divisible by 17 for all n>0.

With induction we start with the base case n = 1. So setting n=1 we find that f(1) = 391 which is equal to 17x23. So indeed the base case holds.We assume that for positive integers k, f(k) is divisible by...

Answered by Matt B. • Further Mathematics tutor

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Outline the reasons why insects and other animals need well-developed transport systems (3 marks)

This question has 3 marks attached to it, therefore the examiner is looking for three clear points.

Larger organisms tend to have higher metabolic demands as they are more active.

Answered by Vaibhav D. • Biology tutor

12985 Views

Why is the left ventricle wall more muscular than the right ventricle wall?

The heart has 2 sides; the left and the right. The left side of the heart pumps oxygenated blood from the lungs to supply the rest of the body. The right side of the heart pumps deoxygenated blood from th...

Answered by Elizabeth R. • Human Biology tutor

13845 Views

Explain the ideas of bravery and honour in the context of Roman tradition.

Romans were military people who saw the readiness to risk one's life first for the Republic, and later on for the Empire, as one of the greatest qualities. They were supposed to be able to go through extr...

Answered by Julia K. • Polish tutor

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