Combining a power and a linear pattern
Combining a power and a linear pattern
TGM Original
A sequence is defined by \(T_n=2^n+n\), starting at \(n=1\). Find the first four terms and the eighth term. Explain why \(T_{n+1}\ne2T_n\) in general.
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Answer:\(3,6,11,20\); \(264\); the linear part prevents a fixed ratio.
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