Question 7176: Finite Sequence Query Bounds before Evaluation

Original question and givens

N begins at 0; retain sequence order and repeated values. A finite prefix does not determine a unique infinite rule, convergence, or infinite series. L=0; only 0≤n<L is allowed for a_n=1+(2)n. Ordered candidate indices=[-1, 0, 1]. Give (L, index-eligibility mask, legal term values or invalid-index).

• G001 — N begins at 0; retain sequence order and repeated values. A finite prefix does not determine a unique infinite rule, convergence, or infinite series. L=0; only 0≤n<L is allowed for a_n=1+(2)n. Ordered candidate indices=[-1, 0, 1]. Give (L, index-eligibility mask, legal term values or invalid-index).

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-sequence

Step-by-step derivation

N starts at0;ordered finite indices and repeated values retained

given recurrences differ from guessing an infinite rule from observations

candidate index=-1;0≤index<0=No

value/status=invalid index

candidate index=0;0≤index<0=No

value/status=invalid index

candidate index=1;0≤index<0=No

value/status=invalid index

Reverse checks

• S004 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• 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

(0, [No, No, No], [invalid-index, invalid-index, invalid-index])

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.