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The 6th term of an arithmetic sequence is 28, and the first term is 2. What is the common difference?

User Jhoyla
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Final answer:

The common difference in the arithmetic sequence is 5.

Step-by-step explanation:

To find the common difference in an arithmetic sequence, we can use the formula:

an = a1 + (n-1)d

Where an is the nth term of the sequence, a1 is the first term, n is the term number, and d is the common difference.

In this case, the 6th term (a6) is given as 28, and the first term (a1) is given as 2. Plugging these values into the formula, we get:

28 = 2 + 5d

Simplifying, we find that the common difference (d) is 5.

User Robe Elckers
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