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Linus12351
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Can anyone help with this problem. I've tried integral test but seems to be too complicated.View attachment 9622
Have you tried looking at \(\displaystyle \lim_{n \to \infty} \dfrac{a_{n + 1}}{a_n}\)?Linus12351 said:
Linus12351 said:
A series is a sequence of numbers or terms that follow a specific pattern or rule.
To determine the pattern in a series, you can look for any consistent change or relationship between the terms. This can include arithmetic (adding or subtracting a constant number), geometric (multiplying or dividing by a constant number), or other patterns such as alternating or repeating sequences.
To find the next term in a series, you can use the identified pattern to predict what the next term should be. This can be done by applying the same rule or operation to the previous term.
Some common types of series include arithmetic series, geometric series, alternating series, and factorial series. There are also many other types of series that can be more complex and involve multiple patterns.
Understanding series can be helpful in science as it allows for the prediction and extrapolation of data. This can be useful in making accurate and informed conclusions based on patterns and trends in data. Series can also be used to model and analyze natural phenomena and processes.
