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(Solved): (a) Find the sum of the infinite series \sum_(n=0)^(\infty ) 5(-(6)/(13))^(n) giving your answer in ...



(a) Find the sum of the infinite series

\sum_(n=0)^(\infty ) 5(-(6)/(13))^(n)

giving your answer in exact form. (b) Find the sum of the finite series

\sum_(n=13)^(28) ((1)/(2)n^(3)+2n^(2)).


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