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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 42 + 51 =21, which is divisible by 2...

Answered by Graeme S. Further Mathematics tutor
8402 Views

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 battlin...

Answered by Psychology tutor
2611 Views

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 ...

Answered by Matthew E. Maths tutor
2583 Views

The straight line joining the points (1, -2a),(a, 1) has a gradient of 5, find the value of a

m=y-y1/x-x15=1-(-2a)/a-15=1+2a/a-15(a-1)=1+2a5a-5=1+2a3a=6a=2

Answered by Theo B. Maths tutor
3153 Views

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)

Answered by Tamsin D. Chemistry tutor
1691 Views

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