\(S_{10} = 5(6 + 45) = 5 imes 51 = 255\)
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- Use the formula for the sum of an arithmetic sequence \(S_n = rac{n}{2}(2a + (n-1)d)\)
- \(n = 10\), First term \(a = 3\), Common difference \(d = 5\)
- \(S_{10} = rac{10}{2}(2 imes 3 + 9 imes 5)\)
- Question:** Solve for \(x\) in the equation \(2x^2 - 8x + 6 = 0\) using the quadratic formula.
- Quadratic formula: \(x = rac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
- \(b^2 - 4ac = (-8)^2 - 4 imes 2 imes 6 = 64 - 48 = 16\)
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