Question

The series the summation from n equals 1 to infinity of the quotient of negative 1 raised to the n plus 1 power and n is convergent. Use the Alternating Series Test to find an upper bound on the absolute error if the 7th partial sum is used as an estimate of the infinite sum.
Type your answer in the space below and give three decimal places. If your answer is less than 1, place a leading "0" before the decimal point (ex: 0.482). (10 points)

Answer 1

Recall that for an alternating series, the error is bounded by the first term discarded. That is
|S-S_n| < a_(n+1)