Question

How do i find a37 in an arithmetic sequence of (-12, -5, 2...) ? Also how i do i find the explicit formula for this?

Answer 1

Answer:

Step-by-step explanation:

Look at the differences between terms.

The initial term is -12, and each successive term is 7 more than the preceding term:

a₂ = a₁ + 7

a₃ = a₂ + 7

Etc.

a₁₃ = a₁ + (13-1)7 = -12 + (12)7 = 72