Question

What is the statement P(k + 1) for P(n):
2 + 4 + 8 + ... + 2n = 2(n + 1) - 2
I will give a medal!

Answer 1

Oh really?You;re gonna give medal? You;re so kind! :)

Answer 2

P(n): 2 + 4 + 8 + ... + 2n = 2(n + 1) - 2
P(k): 2 + 4 + 8 + ... + 2k = 2(k + 1) - 2
P(1): 2 + 4 + 8 + ... = 2n = 2(1 + 1) - 2

Answer 3

I just need the statement for P(k + 1).

Answer 4

P(k): 2 + 4 + 8 + ... + 2k = 2(k + 1) - 2
replace k by k+1
P(k+1):2 +4+8+2(k+1)=2(k+1+1)-2

Answer 5

replace n with k+1

Answer 6

So P(k + 1): 2 + 4 + 8 + 2(k + 1) = 2(k + 1 + 1) - 2???

Answer 7

yes, don't miss the .......

Answer 8

Where would that go?

P(k + 1): 2 + 4 + 8 + ... + 2(k + 1) = 2(k + 1 + 1) - 2

Is that right?

Answer 9

yep :)

Answer 10

Yayy! Thank you both so much! :) Have a nice day!

Answer 11

:D

Answer 12

you too :)