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agasfer [191]
2 years ago
10

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

Mathematics
1 answer:
Mrrafil [7]2 years ago
8 0

Answer:

a_{37}=249

Step-by-step explanation:

A sequence that has a common difference is an <em>arithmetic sequence</em>:

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

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