Write out the first few terms of the geometric series the inequality holds and the series converges What is the second term of the given series 8 What is a n 0 The general geometric series is a ar ar ar ar What is the first term of the given series n to find a and r and find the sum of the series Then express the inequality r 1 in terms of x and find the values of x for wh 5 What is r 0 If the series is convergent what is the series sum Substitute the expression in x for r in the inequality r 1 to obtain 1 Isolate x For what values of x does the series com 1 0 1