Question

What is the 33rd term of this arithmetic sequence? 12, 7, 2, -3, -8,_?

Answer 1

well a term in an arithmetic sequence is found using

\[aa_{n} = a_{1} + (n - 1) \times d\]

a1 is the 1st term = 12, n is the number of terms n = 33

you need to find the common difference...d so what is each term decreasing by..?

then substitute the values into the formula. and calculate it out