Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 9 + 8 + 64 9 + 512 81 +
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The given geometric series is convergent and the sum of this series is 81.According to the statementwe have given that the geometric series and we have to find that the convergent or divergent and If it is convergent, find its sum.So, For this purpose, we know that theThe given geometric series is9 + 8 + 64/9 + 512/81 + …..And the common ratio from this G.P. seriesr = term 2 / term 1 = 8/9So, r = 8/98/9 < 1so This series is convergent.And now the sum of series is according to the summation formula:Sum = 9/(1 – 8/9)Sum = 9/(1/9)Sum = 81.So, The given geometric series is convergent and the sum of this series is 81.Learn more about Geometric series herehttps://brainly.com/question/24643676#SPJ4