112. if k is a positive integer, then for every value of k, the sum of the k smallest distinct odd positive integers is equal to which of the following? f. k g. 2k h. 2k - 1 j. k^2 k. 2k^2 justify your answer, me understand! you!

Hello,



In details:

s= 1             +3            +5+7+9+....    +2(k-2)+1      +2(k-1)+1
s= 2(k-1)+1  +2(k-2)+1 +....  +9+7+5  +3                 +1
2s=(2k-2+2) +(2k-4+4)+...........................................+(2k-2+2)
   =2k+2k+2k+....+2k (there is k terms)

2s=2k*k
2s=2k²
s=k²

Answer J