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Prove by mathematical induction that 2^(2n-1) + 3^(2n-1) is divisible by 5 for all natural numbers n.

First check that this works for n=1:2^(2x1 - 1) + 3^(2x1 - 1) = 2^1 +3^1 = 5 (so true for n=1)Now we assume this to work for any n = k.Assumption: 2^(2k-1) + 3^(2k-1) = 5a, where a is some integer constan...

KI
11405 Views

How do you sketch the graph of a function?

To sketch a graph, you can follow the steps below, spiking some of them if not needed or not applicable:0 Clean up the function (makes following steps easier).1 Determine the maximum domain of definition ...

TD
Answered by Tudor D. Maths tutor
3821 Views

Explain how partial pressure of oxygen affects how oxygen binds to haemoglobin in different areas of the body.

In the lungs, the partial pressure of oxygen is high therefore haemoglobin readily binds to the oxygen. This causes the haemoglobin to undergo a conformational change and increase its affinity for oxygen ...

VA
Answered by Vinisha A. Biology tutor
5435 Views

Discuss the socio-economic consequences of soil degradation.

There are more than 20 million km2 of degraded land worldwide (2015). Overgrazing and agricultural mismanagement affect more than 12 million km2 and 20% of the world's pasture and ra...

TK
Answered by Tomas K. Geography tutor
1587 Views

How does the structure of the heart relate to its function?

The easiest way to understand the way that the heart works is to imagine a double pump with high pressure and low pressure tubing. One part of the pump is low pressure all the way, and that brings the blo...

MG
Answered by Mark G. Biology tutor
4668 Views

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