I should proof that this 5^(n + 1) - 4n - 5 is divisible by 16
#Algebra
glad oxide
desert bridgeBOT
desert bridgeBOT
Algebra
loud cypress
What have you tried? What tools have you been learning and using in class to prove things like this?
kind kiln
Use the fact that 16 = 2^4
And rewrite 5^(n+1) -5 as something else
That should help
You want to get it into terms of 2s
More specifically you can factor the expression into the form 4(f(n))
glad oxide
What have you tried? What tools have you been learning and using in class to pro...
We have this information given
sharp bronze
Have you done proofs with math induction?
glad oxide
No but like
We had online classes on this I mean like additional classes
But I couldn't be there
Wait
Wait
sharp bronze
Okay great
glad oxide
And rewrite 5^(n+1) -5 as something else
I tried but I couldn't do jt
sharp bronze
In short, you'd probably use math induction for this, with the goal being to get the expression into a form where 16 is a factor
- Check whether it is divisible by 16 when n = 1
- Assume that it is divisible by 16 for n (5^(n+1) - 4n - 5 = 16P, P being a natural number)
- Use your assumption to check whether it is divisible by 16 for n + 1
There are plenty of similar proofs, I suggest looking at a solved example
glad oxide
I don't have one
sharp bronze
Just a minute
glad oxide
It would be great if you send me the whole thing for this
sharp bronze
