write the general term of the following sequence using the tabular method2,4,6,8,10​

Answer and Explanations:Here's how to find the general term of the sequence 2, 4, 6, 8, 10 using the tabular method: 1. Set up the table: (in the picture) 2. Analyze the differences: Notice that the difference between consecutive terms is constant and equals 2. This indicates that the sequence is an arithmetic progression. 3. Determine the general term: The general term of an arithmetic sequence is given by the formula: an = a1 + (n - 1)d where: - an is the nth term- a1 is the first term- n is the term number- d is the common difference In this sequence: - a1 = 2- d = 2 Therefore, the general term is: an = 2 + (n - 1)2 = 2 + 2n - 2 = 2n 4. Conclusion: The general term of the sequence 2, 4, 6, 8, 10 is an = 2n

Answered by francineee345 | 2025-06-24