math

Write the following series using sigma notation: (x/3)-((4x^2)/9)+(x^3/3)-((16x^4)/81)+((25x^5)/243)-...

Answers

∑ (-1)^n * (x^(3n+1))/(3^n*(3n+1)) The series is expressed as the sum of an alternating sequence of the terms involving powers of x divided by powers of 3 multiplied by the index of the term (3n+1).

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