\( S_{10} = \frac{10}{2}(2 \times 5 + (10-1) \times 3) \)
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- \( a_4 = 3 \times 34 + 4 = 106 \)
- #### 106
- The sum of the first \( n \) terms of an arithmetic series is given by \( S_n = \frac{n}{2}(2a + (n-1)d) \). If the first term \( a = 5 \) and the common difference \( d = 3 \), what is the sum of the first 10 terms?
- \( S_{10} = 5(10 + 27) = 5 \times 37 = 185 \)
- Solve for \( x \) in the equation \( 2x^2 - 3x - 5 = 0 \) using the quadratic formula.
- Here, \( a = 2 \), \( b = -3 \), \( c = -5 \).
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Question: What is the smallest prime factor of the total number of pollinator species, which is 1155?
Since the discriminant is negative, the solutions are complex.
Use the distributive property to expand the expression:
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