Question: 50
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)
Given that 1+3+...+(2n-1)=n^{2} for all n≥ 1.
Which of the following equations is true?
(i) [+3+...+(2k+1)=k^{2}+(2k+1)
(ii) 1+3+...+(2k+1)=k^{2}+2
(iii) 1+3+...:+(2k+1)=1+2+...+(2k-1)+2
(iv) 1+3+...+(2k+1)=(k-1)^{2}+(2k+1)