Explanation:

Alright, let’s dig into this together. Here’s how the sequence shakes out:

- Start: PERSONA

- 2nd: ANPERSO – last two letters (NA) move to the front

- 3rd: ANOSPER – now last letter (O) shifts forward, giving ANOSPER

- What’s happening? Parts of the word are cycling from end to front, but the pattern alternates: two from the end, then one from the end.

- So next, take the next two from the end of ANOSPER (which are E and R), and move them to the front.

- ER + ANOSP = ERANOSP

- Wait, but none of the options match that exactly. Let's check what each option actually does:

1. ANOSERP - last two (ER) shifted to the end—doesn't fit the observed pattern

2. NOSAREP - rearranged, but doesn’t line up with the moves above

3. ANSORPE - just a shuffling, not matching the shift

4. ANOSREP - moves the last letter (P) to the front: P + ANOSRE = PANOSRE, but that’s not on the list. But maybe, after ANOSPER, moving “R” to the front? RANOSPE? Not matching.

Let’s double-check:

From PERSONA ? ANPERSO:[

NA (~last two) to front = AN + PERSON (minus the last two) = ANPERSO

]

ANPERSO ? ANOSPER:

Take last letter (“O”) to the front: O + ANPERS (without last letter) = OANPERS

But that gives OANPERS, not ANOSPER...

But—look:

- ANPERSO: letters = A N P E R S O

- Next: ANOSPER

So, from ANPERSO, move the 2nd-last and last (SO) to front? SO + ANPER = SOANPER. Not matching.

Ah! Here's the real thing: from PERSONA (PER SO NA), letters are being rotated.

Let’s write out all sequences for clarity:

PERSONA

ANPERSO (last 2 to front: NA+PERSO)

ANOSPER (last 1 to front: R+ANOSPE)

So, from ANOSPER, move the last 2 (“ER”) to the front: ER + ANOSP = ERANOSP (not in options)

But option 4, ANOSREP, looks like a rotation of the last letter (ANOSPER ? ANOSREP), which matches the single letter move that occurred second (ANPERSO ? ANOSPER moved “O” to second position).

Still, the sequence is:

- Move last 2 letters to the front

- Move last letter to the front

- Move last 2 letters to the front

So next, we should move last letter to the front: ANOSPER ? RANOSPE

But that's not in options.

ANOSREP in option 4 is just swapping last two, which doesn’t fit.

Final answer: the sequence isn't perfectly matching any of the options, but looking at proximity, Option 1 (ANOSERP) is the closest, switching the last two letters of ANOSPER, which aligns with the zig-zagging letter movement.

So, the correct answer is:

Option 1: ANOSERP