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/ ### Question 17
### Question 17
February 22, 2026
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\[ s\sqrt{2} = 10\sqrt{2} \]
\[ s = 10 \]
\[ s^2 = 10^2 = 100 \, \text{square centimeters} \]
The sum of the first 10 terms of an arithmetic sequence is 150. If the first term is 5, what is the common difference?
The sum \( S_n \) of the first \( n \) terms of an arithmetic sequence is given by:
\[ S_n = \frac{n}{2} (2a + (n-1)d) \]
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