Given the series sum_(k=1)^( infty ) (81)/((-3)^(k)), find S_(4) (the sum of the first 4 terms) and then give an upper bound for the "remainder" or error between S_(4) and S , the sum of the infinite series. ( 5 pts) BONUS ( 2 pts): Calculate the exact error

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Given the series  sum_(k=1)^( infty ) (81)/((-3)^(k)), find S_(4) (the sum of the first 4 terms) and then give an upper bound for the &#34;remainder&#34; or error between S_(4) and S , the sum of the infinite series. ( 5 pts) BONUS ( 2 pts): Calculate the exact error

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(Solved): Given the series \sum_(k=1)^(\infty ) (81)/((-3)^(k)), find S_(4) (the sum of the first 4 terms) and ...

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