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5,17,29,41,53,65,?

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Tiffany Dong

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Q: What is the common difference in this sequence 5 17 29 41 53?
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What is a number sequence where 24 is the fifth term in a sequence of 10 numbers?

To find the common difference in the arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. Given that 24 is the fifth term in a sequence of 10 numbers, we can set up the equation (24 = a_1 + 4d). We also know that there are 10 terms in the sequence, so the 10th term can be expressed as (a_{10} = a_1 + 9d). With this information, we can set up a system of equations to solve for the first term (a_1) and the common difference (d).