What is the sum of the infinite geometric series with #a_1=42# and #r=6/5#?

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Answer 1 · 2015-05-28T20:50:01

That is a tricky question because a geometric series converges only when #abs(r)<1#. Here we have #abs(r)=abs(6/5)=6/5=1 1/6 > 1#.