Prove the following by induction.

[alander]

Prove the following by induction

3 divides (7^n + 2).

 

[Deleted member 4993]

Prove the following by induction

3 divides (7^n + 2).

Please share your work/thoughts about this assignment.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING

 

[Steven G]

Can you at least post the entire question? For example 3 does not divide 7^0+2.

 

[Deleted member 4993]

Can you at least post the entire question? For example 3 does not divide 7^0+2.

Does too...

7^0+2 = 1 + 2 = 3

go straight to corner .....

 

[Steven G]

Does too...

7^0+2 = 1 + 2 = 3

go straight to corner .....

I'm not walking to the corner but I am running. How did I miss that one!

 

[pka]

Prove the following by induction
3 divides (7^n + 2).

BIG HINT:\(\displaystyle 7^{N+1}+2\\=7\cdot 7^N+2\\=7\cdot 7^{N}+7\cdot 2-7\cdot 2+2\\=7(7^N+2)-12\)
Now you post the whole proof.

 

[topsquark]

I'm not walking to the corner but I am running. How did I miss that one!

That's going to hurt when you get to the corner. At least slow down when you get close!

-Dan