2.5.8 what the 9th term with solution
Answer (1)
Answer: 9th 26Step-by-step explanation: To find the 9th term in a sequence, we need to know the pattern or rule that defines the sequence. Since you provided "2.5.8," it seems like you might be referencing a specific type of sequence, or perhaps these numbers are just examples.Assuming you're referring to a simple arithmetic sequence where the first term (a1) is 2.5 and, for example, each term increases by a fixed amount, we can outline the steps to find the 9th term.Example 1: Arithmetic SequenceLet’s say the sequence begins with 2.5 and the common difference (the amount each term increases) is 1.1. First term (a1): 2.52. Common difference (d): 1Formula: The \(n\)th term of an arithmetic sequence can be calculated using the formula:\[ a_n = a_1 + (n - 1) \cdot d 3. Calculating the 9th term (n = 9)**:a_9 = 2.5 + (9 - 1) \cdot 1a_9 = 2.5 + 8a_9 = 10.5So, the 9th term of this arithmetic sequence would be 10.5.Example 2: If it's a Different Type of SequenceIf "2.5.8" meant something else, such as the terms of a different sequence (like 2, 5, 8), and you're looking for the continuation of that sequence:1. First term: 22. Second term: 53. Third term: 8In this case, the sequence actually increases by 3 each time (5 - 2 = 3, 8 - 5 = 3).Using the same formula again:a_n = a_1 + (n - 1) \cdot d Here, \(a_1 = 2\) and \(d = 3\).4. Calculating the 9th term:a_9 = 2 + (9 - 1) \cdot 3a_9 = 2 + 24a_9 = 26In this case, the 9th term would be 26.Final ThoughtFor an accurate determination of the 9th term, the definition of the sequence is crucial. If you can provide more context or details about the sequence, I’d be glad to help further.
