Prove the statement by mathematical induction.

3 + 5 + 7 + . . . + (2n + 1) = n(n + 2)

Question

Prove the statement by mathematical induction.

3 + 5 + 7 + . . . + (2n + 1) = n(n + 2)

anonymous · Answer

attachment

anonymous · Answer

ever done one of these before?

anonymous · Answer

Yes, but it has been since the beginning of the year & I'm reviewing now. Even when I first did it I didn't really understand

anonymous · Answer

i don't think this template is helping with understanding what is going on, but we can work with the template because that is what you have

anonymous · Answer

Okay, that would be great & thank you in advance!

anonymous · Answer

the first part, part 1 is rather easy, replace $n$ by $1$ and see that you get the same number on both sides of the equal sign

anonymous · Answer

you get $1\times (1+2)=3$ on the left, and also $1+2=3$ on  the right

anonymous · Answer

Sorry my computer froze! & okay, that makes sense. Do you carry the three down to the next line?