Asked by Jenny
What is the smallest integer that can possibly be the sum of an infinite geometric series whose first term is 9? Please explain in steps.
Answers
Answered by
Steve
S = 9/(1-r)
If r>=0, you can see that 9/1=9 would be the smallest possible sum, if r=0. That is, if the sequence is
9 0 0 0 0 0 ......
Any other value for r will produce nonzero terms, and therefore a larger sum.
You can investigate what happens when r < 0.
If r>=0, you can see that 9/1=9 would be the smallest possible sum, if r=0. That is, if the sequence is
9 0 0 0 0 0 ......
Any other value for r will produce nonzero terms, and therefore a larger sum.
You can investigate what happens when r < 0.
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