Let \( t_{r}=2^{r / 2}+2^{-r / 2} \). Then \( \sum_{r=1}^{10} t_{r}^{2} \) is equal to (a) \( \f...

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Let \( t_{r}=2^{r / 2}+2^{-r / 2} \). Then \( \sum_{r=1}^{10} t_{r}^{2} \) is equal to
(a) \( \frac{2^{21}-1}{2^{10}}+20 \)
(b) \( \frac{2^{21}-1}{2^{10}}+19 \)
(c) \( \frac{2^{21}-1}{2^{10}}-1 \)
(d) \( \frac{2^{21}-1}{2^{10}}-19 \)
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