Substitute the values: \(S_5 = \frac{5}{2}(2 \times 3 + 4 \times 2)\).
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- Solve for \(y\): \(y = 69 / 21 = 23/7\).
- #### \(x = 43/14\), \(y = 23/7\)
- The sum of the first \(n\) terms of an arithmetic sequence is given by \(S_n = \frac{n}{2}(2a + (n-1)d)\). Find the sum of the first 5 terms if \(a = 3\) and \(d = 2\).
- Simplify: \(S_5 = \frac{5}{2}(6 + 8) = \frac{5}{2} \times 14 = 35\).
- #### \(S_5 = 35\)
- Find the derivative of \(f(x) = 3x^3 - 5x^2 + 2x - 7\).
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