Question 4899: Inclusive Natural Successor Window

Original question and givens

N includes 0. n=22, k=5. List the complete ordered window beginning at n and applying the successor k times.

• G001 — N includes 0. n=22, k=5. 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.

• mko-natural-number

Step-by-step derivation

N={0,1,2,...}

0 belongs;negative and nonintegral rational values do not

initial n=22;successor count k=5

[22]

successor step1 := sum(22, 1)

successor step1 = 23

successor step2 := sum(23, 1)

successor step2 = 24

successor step3 := sum(24, 1)

successor step3 = 25

successor step4 := sum(25, 1)

successor step4 = 26

successor step5 := sum(26, 1)

successor step5 = 27

[22, 23, 24, 25, 26, 27]

5 successors and 6 total entries

Reverse checks

• S008 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S007 · premise_and_result_audit — Recompute successor step5 with exact rational arithmetic, not rounded decimals.
• S006 · premise_and_result_audit — Recompute successor step4 with exact rational arithmetic, not rounded decimals.
• S005 · premise_and_result_audit — Recompute successor step3 with exact rational arithmetic, not rounded decimals.
• S004 · premise_and_result_audit — Recompute successor step2 with exact rational arithmetic, not rounded decimals.
• S003 · premise_and_result_audit — Recompute successor step1 with exact rational arithmetic, not rounded decimals.
• 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

[22, 23, 24, 25, 26, 27]

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.