Question: Question is in the attachment. 4. Let V be the set of those vectors in R* whose coordinates (ordered by position) form an arithmetic progression,

Question is in the attachment.

4. Let V be the set of those vectors in R* whose coordinates (ordered by position) form an arithmetic progression, i.e. the difference of the consecutive coordinates is the same (if we subtract the coordinate with the smaller index from the coordinate with the greater index). Decide if V is a subspace of R4 or not

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