For the sequence 0, 1, 2, 3 an is ___________.
A. ⌈n/2⌉+⌊n/2⌋
B. ⌈n/2⌉+⌈n/2⌉
C. ⌊n/2⌋+⌊n/2⌋
D. ⌊n/2⌋
Answer:A
For the sequence 0, 1, 2, 3 an is ___________.
A. ⌈n/2⌉+⌊n/2⌋ B. ⌈n/2⌉+⌈n/2⌉ C. ⌊n/2⌋+⌊n/2⌋ D. ⌊n/2⌋
Explanation: Expand the sequence ⌈n/2⌉+⌊n/2⌋ where a1 is ⌊0.5⌋+⌈0.5⌉ = 1+0 = 1, a2 is ⌊1⌋+⌈1⌉ = 1 + 1 = 2 and so on.