Question

What is the 32nd term of the arithmetic sequence -12 -7?

Answer 1

`a_1=-12 \\ a_2=-7 \\ d=a_2-a_1=-7-(-12)=5 \\ \\ a_n=a_1+d(n-1) \\ \\ a_(32)=-12+5(32-1) \\ {} \ \ \ \ =-12+155\\ {} \ \ \ \ =143`

The answer is a₃₂=143