giải giúp ạ ----- Nội dung ảnh ----- 1) C = -3 + 3² 2) B = -2 + 2² - 2³ + 2⁴ 3) E = 1 - 2 + 2² - 3 + 3⁴ 4) D = 1 - 4 + 4² - 4³ + 4⁴ 5) G = -7 + 7² - 7³ + 7⁴ 6) F = 1 - 5 + 5² - 5³ + 5⁴ 7) H = -1 + 9² - 9³ + 9⁴ 8) 7 = 5 - 2 + 3
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32 Tham khảo câu trả lời từ Trợ lý ảo Lazi To evaluate the series in the expressions provided, we can identify each series as a sum of powers of a specific base. Here's a breakdown of the expressions: 1. **C = -3 + 3² - 3³ + ... + 3²⁰¹⁸** - This is a geometric series with the first term \( a = -3 \) and the common ratio \( r = -3 \). The formula for the sum of a geometric series is: \[ S_n = a \frac{1 - r^n}{1 - r} \] Here, \( n = 2018 \). 2. **B = -2 + 2² - 2³ + ... + 2²⁰¹⁷** - Similarly, this is a geometric series with \( a = -2 \) and \( r = -2 \), and \( n = 2017 \). 3. **D = 1 - 4 + 4² - 4³ + ... + 4²⁰¹⁷** - Here, \( a = 1 \) and \( r = -4 \). 4. **E = 1 - 2 + 2² - 2³ + ... + 2²⁷⁹** - This follows the same pattern with \( a = 1 \), \( r = -2 \), and \( n = 100 \). 5. **F = 1 - 5 + 5² - 5³ + ... + 5²⁰¹⁷** - With \( a = 1 \) and \( r = -5 \). 6. **G = -7 + 7² - 7³ + ... + 7³⁰²** - Here, \( a = -7 \) and \( r = -7 \), with \( n = 302 \). 7. **H = -9 + 9² - 9³ + ... + 9¹⁰¹** - For this series, \( a = -9 \) and \( r = -9 \) with \( n = 101 \). For each term, you would calculate the series sum using the geometric series formula. If you need evaluations for specific series or help with any calculations, let me know!