Sequence and Series - Geometric Progression
Sequence and Series - Geometric Progression
Find the common ratio and write down the \(n\)th term of the geometric progression \(8\),\( -4\), \(2\), .... .
Find also the sum of the first \(n\) terms.
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Answer:\(r=-\frac12\), \(T_n=8\left(-\frac12\right)^{n-1}\), \(S_n=\frac{16}{3}\left[1-\left(-\frac12\right)^n\right]\)
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