Question

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

Answer 1

`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`