N includes 0. n=17, k=0. List the complete ordered window beginning at n and applying the successor k times.
G001 — N includes 0. n=17, k=0. List the complete ordered window beginning at n and applying the successor k times.
Definition and scope
Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.
0 belongs;negative and nonintegral rational values do not
Conditions: none
This convention includes0 in N;distinguish membership,rational values,partial predecessors and closed intervals.
Step identifiers and dependencies
Rule: natural_zero_convention · Uses: G001
S002 · implies
Before
initial n=17;successor count k=0
After
[17]
Conditions: none
Include the initial point;even k=0 has one item.Do not apply a successor before starting the list.
Step identifiers and dependencies
Rule: successor_window_initial · Uses: G001, S001
S003 · implies
Before
[17]
After
0 successors and 1 total entries
Conditions: none
Applying k successors produces k+1 entries,retaining the full order and initial point.
Step identifiers and dependencies
Rule: successor_window_length · Uses: G001, S002
Reverse checks
S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
Result
[17]
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
This question review and source binding
Review date: 2026-10-26
Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.