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Prove, by induction, that 4^(n+1) + 5^(2n-1) is always divisible by 21

Firstly when proving something by induction, we always show that the base case works, i.e. we plug in n=1. In this case we get 4 2 + 5 1 =21, which is divisible by 21. Next we state what is called the induct...
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Discuss evolutionary explanations of eating behaviour (6 marks)

Eating habits and food preferences are said to have come from our ancestors and adapted in our environment of evolutionary adaptation (EEA). Are ancestors were hunter-gatherers who were constantly battling a...
Answered by • Psychology tutor
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If x^2-5x+6=0, solve for x.

Since x^2-5x+6=0 is a quadratic we need to factorize before solvingAll quadratics fall under this formula ax^2+bx+c=0 so in this case a=1, b=-5 and c=6Drawing the very common ac b table we get: ac|b 6 |-5So ...
ME
Answered by Matthew E. • Maths tutor
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The straight line joining the points (1, -2a),(a, 1) has a gradient of 5, find the value of a

m=y-y 1 /x-x 1 5=1-(-2a)/a-15=1+2a/a-15(a-1)=1+2a5a-5=1+2a3a=6a=2
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Answered by Theo B. • Maths tutor
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Metals can be extracted fromt their oxides via the process of electrolysis. Positive metal ions are attracted to the negative electrode. explains what happens at the negative electrode. (2 marks)

Metal ions gain electrons to form metal atoms.(Eg Al3+ + 3e- ----> Al)
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Answered by Tamsin D. • Chemistry tutor
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