Question

use mathematical induction to prove that the statement is true for every positive integer n 1+3+5+...+(2n-1)= n^2

Answer 1

add the next term and show that the sum equals (n+1)^2

Answer 2

next term would be (2n+1)

--> n^2 + 2n +1 = (n+1)^2

Answer 3

also show initial step n=1 is true
1 = 1^2

Answer 4

thank you guys