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What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.

User Lyubomyr
by
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1 Answer

5 votes

Answer:


a_(37)=249

Explanation:

A sequence that has a common difference is an arithmetic sequence:


a_n=a_1+(n-1)d

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

  • n = 37
  • a₁ = -39
  • d = 8

Plug those into the formula:


a_(37)=-39+(37-1)8

Then solve:


a_(37)=-39+(36)8\\a_(37)=-39+288\\a_(37)=249

User Shontelle
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