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The sum \( S_n \) of the first \( n \) terms of an arithmetic sequence is given by:
\[ S_n = \frac{n}{2} (2a + (n-1)d) \]
Given \( S_{10} = 150 \), \( n = 10 \), \( a = 5 \):
\[ 150 = \frac{10}{2} (2 \times 5 + 9d) \]
\[ 150 = 5 (10 + 9d) \]
### Question 18
A circle with a radius of 7 cm has an arc length of 11 cm. What is the central angle in radians?
The arc length \( L \) is given by:
\[ L = r\theta \]
Given \( L = 11 \), \( r = 7 \):