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Find the 17^(th ) term of the arithmetic sequence whose common difference is d=3 and whose first term is a_(1)=4.

1 Answer

3 votes

52

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Use the formula:

  • aₙ = a₁ + (n-1)d

here aₙ is the nth term, a₁ is the first term, n is the term number, and d is the common difference.

Substituting the given values, we have:

  • a₁₇ = 4 + (17-1)3 = 4 + 16(3) = 4 + 48 = 52

So, the 17th term of the sequence is 52.

User Jayvee
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