St. Petersburg was never a German city. It was founded by Tsar Peter the Great in 1703 and served as the capital of the Russian Empire for over 200 years. While there were German influences in the city due to the presence of a sizable German community, St. Petersburg has always been a Russian city. **

Saint Petersburg was founded by Tsar Peter the Great in 1703 and was named after him. It was originally a Swedish fortress called Nyenskans, which was captured by the Russians during the Great Northern War. While the city has had influences from various European countries, including Germany, it has never been considered a German city. **

The Petersburg Paradox is a thought experiment in probability theory that highlights the paradoxical nature of infinite expected value. It is named after the city of St. Petersburg, where the experiment was first described by Daniel Bernoulli in 1738. The paradox arises from a gambling game in which the potential payoff doubles with each successive coin flip, leading to an infinite expected value. However, most people would not be willing to pay an infinite amount to play the game, which raises questions about how individuals actually make decisions under uncertainty. **

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. **

I find St. Petersburg to be a beautiful and vibrant city with its stunning architecture, rich history, and cultural attractions. The city's grand palaces, museums, and canals create a unique and charming atmosphere that I enjoy exploring. The local cuisine, friendly people, and lively arts scene also contribute to my positive experience in St. Petersburg. Overall, I have a great appreciation for the city and look forward to further discovering all it has to offer. **

Yes, cottage cheese is considered vegetarian as it is made from cow's milk and does not contain any animal-derived ingredients. It is a popular dairy product that is commonly consumed by vegetarians as part of their diet. However, some strict vegetarians may choose to avoid cottage cheese due to concerns about animal welfare or the dairy industry. **

For muscle building, it is generally recommended to use low-fat cottage cheese. Low-fat cottage cheese provides a good source of protein while also being lower in calories and saturated fat compared to regular cottage cheese. This can help support muscle growth and recovery while also promoting overall health and weight management. However, it's important to consider individual dietary needs and preferences when making this choice. **

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. **