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In the geometric sequence above, b_{1},b_{2},b_{3},......_{1}=1000 and b_{n}=(2/3)b_{n-1}for all n[tex]\geq[/tex]2. What is the least value of k for which b_{k}<0.001?## The Attempt at a Solution

What I did first was I found what b

_{0}is since we are given b

_{1}and that is 1500. But I do not understand where the k is coming from and what needs to be found. Can someone please help me?

Thank you!