One technique used to do proofs in algebra is called "mathematical induction." There are four steps: first, show your equation is true for the case n = 1. Next, we write an assumption that the statement is also true for the kth term. Third, we show that the statement is true for the "k + 1"th term, which means adding one more term, substituting what you had written when you assumed for k, and the simplifying. Finally, showing that the statement is true for "k + 1 " terms is sufficient to prove that it is true for all values of n.
Transcript Coming Soon!
Please enter your name.
Are you sure you want to delete this comment?
Experience the 'A-Ha!' moment with the best teachers
whom we hand-picked for you!
M.A. in Secondary Mathematics, Stanford University B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
“Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
“Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
“You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”