The common difference for this arithmetic sequence 31,48,65,82,... is 17.
82 - 65 = 17, 65 - 48 = 17, 48 - 31 = 17
Therefore, the answer is 17.
What is an arithmetic sequence in mathematics?
An arithmetic sequence is a progression in which each term increases by adding/subtracting the constant k. This is in contrast to geometric progressions where each term is incremented by dividing/multiplying the constant k. Example: a1 = 25. a (n) = a (n-1) +5.
Sequence determined by a = 2 and d = 3. Solution: Use the formula to find the nth term to find a specific term in the arithmetic progression. Step 1: The nth term of the arithmetic progression is given by a = a + (n-1) d. Therefore, to find the nth term, substitute the specified values a = 2 and d = 3 into the expression.
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