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Use the Geometric Series Formula to Find the Sum Of 1

Question 7

Essay

Use the geometric series formula to find the sum of 11r+1r21r3+1r4+±1rn11 - \frac { 1 } { r } + \frac { 1 } { r ^ { 2 } } - \frac { 1 } { r ^ { 3 } } + \frac { 1 } { r ^ { 4 } } + \cdots \pm \frac { 1 } { r ^ { n - 1 } } ,where the ±\pm denotes + if n is odd and – if n is even (to fit the pattern of the earlier terms).

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