Question

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⌋

I have been asked this question during a job interview.

The doubt is from Sequences and Summations topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Right option is (a) ⌈n/2⌉+⌊n/2⌋

Best 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.