SOLUTION: An infinite geometric series has common ratio r. The sum to infinity of the series is four times the first term.
Show that r = 0.75
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Question 424600: An infinite geometric series has common ratio r. The sum to infinity of the series is four times the first term.
Show that r = 0.75
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
We can assume the first term is 1, and subsequent terms , , ... where . The sum is therefore . If this is equal to four times the first term, then
From this, we obtain .
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