This is a really basic problem and I just need some review. How do I add 2^{k+1} + 2^{k+1}? This is where I am stuck 2^{1}2^{k}+2^{1}2^{k}
Think of it this way. Can you add x + x? y + y? something + something? This is what the expression 2^{k+1} + 2^{k+1} merely is. Once you get that, then you can use the appropriate property of exponents.
Oh I see, so it would be.. 2*2^{k+1} = 2^{k+2} and just another one for fun 2^{k+1}+2^{k+1}+2^{k+1}+2^{k+1} = 4*2^{k+1 } = 2*2*2^{k+1} = 2^{k+3} Does this seem correct?