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<div class="arithmatex">\[
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T(h) = 2^0h + 2^1(h-1) + 2^2(h-2) + \dots + 2^{(h-1)}\times1
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\]</div>
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<p>化简上式需要借助中学的数列知识,将对 <span class="arithmatex">\(T(h)\)</span> 乘以 <span class="arithmatex">\(2\)</span> ,得到:</p>
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<p>化简上式需要借助中学的数列知识,先将 <span class="arithmatex">\(T(h)\)</span> 乘以 <span class="arithmatex">\(2\)</span> ,得到:</p>
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<div class="arithmatex">\[
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\begin{aligned}
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T(h) & = 2^0h + 2^1(h-1) + 2^2(h-2) + \dots + 2^{h-1}\times1 \newline
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