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# FP1 mathematical induction

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1. So i started from sub n = 1 and it is = to 5, which is divisible by 5. Then i have done the assumption step. But i am stuck after that, with n = k+1 terms. Can someone help please?
2. Show that is also divisible by 5.
3. (Original post by Zacken)
Show that is also divisible by 5.
im struggling on this question too, cant seem to get a five out of it, any chance you can offer a few more hints
4. (Original post by alesha98)

So i started from sub n = 1 and it is = to 5, which is divisible by 5. Then i have done the assumption step. But i am stuck after that, with n = k+1 terms. Can someone help please?
(Original post by emilyp2206)
im struggling on this question too, cant seem to get a five out of it, any chance you can offer a few more hints
When you have powers of two different numbers, it is useful to do f(k+1) - 2 f(k) or f(k+1) - 3 f(k) which makes one of the terms vanish.

Because this one has 2k in the powers, try f(k+1) - 4f(k).

It's a nasty question.
5. (Original post by tiny hobbit)
When you have powers of two different numbers, it is useful to do f(k+1) - 2 f(k) or f(k+1) - 3 f(k) which makes one of the terms vanish.

Because this one has 2k in the powers, try f(k+1) - 4f(k).

It's a nasty question.
i think i may have gone the wrong way about it, ended with 3^2k+1 - 4(3^2k-1)
and then i ended up in circles
6. (Original post by emilyp2206)
i think i may have gone the wrong way about it, ended with 3^2k+1 - 4(3^2k-1)
and then i ended up in circles
Now take out a common factor of the lowest power of 3, i.e. 3^(2k-1)
7. OHHH multiplying by 4 should mean algebraically you get x + 4x = 5x in the simplest terms right?

eDIT- this was a different way, or a way that not works at all
8. (Original post by tiny hobbit)
Now take out a common factor of the lowest power of 3, i.e. 3^(2k-1)
im grinning, it worked, im happy and thankful
9. http://www.examsolutions.net/maths-r...FP1/module.php

Go through the mathematical inductions if u havent.Explains every little thing,if its to a power what u do and if its not to a power what u do.

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