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Advanced Calculus (ENGFF040 UNMC) (SPM1 24-25)

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Find sum to infinity of the series:   \frac{5}{2},   -\frac{5}{4},  \frac{5}{8}, ... \frac{5}{2}, -\frac{5}{4}, \frac{5}{8}, ...

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Which term of series: 262 144, 65 536, 16 384, ...  is 4096?

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In a positive geometric progression, 5th term is nine times the 3rd term. Find the common ratio.  

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The sum of 12 terms of a geometric progression is 2 and common ratio is  -\frac{1}{2}\ -\frac{1}{2}\ .  Find the first term of series.

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