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- Find the sum of the first 8 terms of the arithmetic sequence where the first term is 5 and the common difference is 3.
- The sum \(S_n\) of the first \(n\) terms of an arithmetic sequence is given by \(S_n = \frac{n}{2} (2a + (n-1)d)\). Here, \(n = 8\), \(a = 5\), and \(d = 3\).
- S_8 = \frac{8}{2} (2 \times 5 + 7 \times 3) = 4 \times (10 + 21) = 4 \times 31 = 124
- Convert 1,000 kilometers to meters: \(1,000 \times 1,000 = 1,000,000\) meters. The time taken is \(\frac{1,000,000}{7,800} \approx 128.21\) seconds.
- #### 128.21
- The area of a triangle is 45 square units, and its base is 9 units. What is the height of the triangle?
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