Daisy did not choose Gatsby because she ultimately valued her social status and financial security more than her love for him. Despite her feelings for Gatsby, she ultimately chose to stay with Tom Buchanan, who represented the stability and wealth that she desired. Additionally, Daisy may have been influenced by societal expectations and the pressure to conform to the norms of the upper class, leading her to make a practical rather than emotional decision. **

The answer to this question is subjective and depends on individual preferences. Some may prefer the 2013 film adaptation directed by Baz Luhrmann, which features vibrant visuals and a modern soundtrack, while others may prefer the 1974 film adaptation directed by Jack Clayton, which is more faithful to the original novel and features a classic, elegant style. Both adaptations have their own strengths and offer different interpretations of F. Scott Fitzgerald's classic novel, so it ultimately comes down to personal taste. **

Yes, the geometric series is a convergent majorant for 1/n. This is because the geometric series with common ratio r has the form Σ(ar^n) where |r| < 1. When r = 1/2, the geometric series becomes Σ((1/2)^n), which is a convergent series. Since 1/n is always less than or equal to (1/2)^n, the geometric series is a convergent majorant for 1/n. **

The soundtrack of "The Great Gatsby" is a mix of contemporary and jazz music that captures the opulence and decadence of the 1920s. It features artists like Jay-Z, Beyoncé, Lana Del Rey, and Florence + the Machine, as well as jazz legends like Louis Armstrong and Duke Ellington. The music reflects the extravagant parties and lavish lifestyle depicted in the film, while also adding a modern twist to the classic story. Overall, the soundtrack enhances the film's portrayal of the roaring twenties and the characters' extravagant lives. **

One famous quote from "The Great Gatsby" by F. Scott Fitzgerald is: "So we beat on, boats against the current, borne back ceaselessly into the past." This quote reflects the novel's theme of the characters striving for their dreams while being haunted by their pasts. It also symbolizes the idea of the American Dream and the struggle to achieve it. **

To calculate the n-th term of a geometric sequence, you can use the formula: \( a_n = a_1 \times r^{(n-1)} \), where \( a_n \) is the n-th term, \( a_1 \) is the first term, \( r \) is the common ratio, and \( n \) is the position of the term you want to find. Simply plug in the values of the first term, common ratio, and the position of the term into the formula to calculate the n-th term of the geometric sequence. **

Gatsby always says "old sport" as a way to create a persona of sophistication and charm. By using this term of endearment, he is trying to establish a sense of familiarity and camaraderie with those around him, despite his mysterious background. Additionally, it reflects the time period and social class he is trying to emulate, as it was a common phrase used by upper-class individuals in the 1920s. Overall, Gatsby's use of "old sport" is a deliberate choice to enhance his image and fit in with the elite society he aspires to be a part of. **

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a constant factor. This constant factor is called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3 because each term is obtained by multiplying the previous term by 3. Geometric sequences can be represented by the formula an = a1 * r^(n-1), where a1 is the first term, r is the common ratio, and n is the term number. **