Consider the following statements:
I: If x, y, and z are in GP and tan-1x, tan-1y, tan-1z are in AP, then x = y and y ≠ z.
II: If the sum of m terms of an AP is n and the sum of n terms is m, then the sum of (m + n) term is -(m + n).
III: Sum of GP 3 + 9 + 27 + 81... where there are 5 terms is 363.
Which one of the following is correct in respect of the above statements?
1
I and II
2
II and III
3
I and III
4
I, II, and III