Let V be the set of sequences {a _n } of real numbers.

For {a _n }, {b _n } ∈ V and any real number t, define

{a _n } + {b _n } = {a _n + b _n } and t{a _n } = {ta _n }.

Prove that, with these operations, V is a vector space over R.

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Let V be the set of all sequences a n of real numbers That is V a n a n R The operations on V are de... View the full answer