Identify the 33rd term of the arithmetic sequence 9, 7 and one half, 6 ...

The formula of arithmetic sequence is expressed in the following manner:

an = a1 + d * (n-1) where d is the difference and n is an integer.

substituting,

7 = 9 + d * (2-1)

d = - 1.5

hence,

a33 = 9 - 1.5 * (33-1)

a33 = - 39