The meaning of the decimal representation of a number 0.d1d2d3 … (where the digit di is one of the numbers 0, 1, 2, …, 9) is that
Show that this series always converges.
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Single Variable Calculus: Early Transcendentals
- (a) The nth partial sum of a geometric sequence an=arn1 is given by Sn=. (b) The series k=1ark1=a+ar+ar2+ar3+...... is an infinite _________, series. If |r|1, then this series _________, and its sum is S=. If |r|1, the series _________.arrow_forwardUse the formula for the sum of the first nterms of a geometric series to find S9 , for the series 12,6,3,32,...arrow_forward
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