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The first term of an arithmetic sequence is 4 and the tenth term is 67.

What is the common difference? Show your work or explain your answer.

User Jsibs
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1 Answer

11 votes
11 votes

Answer:

d = 7

Explanation:

The nth term of an arithmetic sequence is


a_(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

User Chris Dent
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