Identify the 31st term of an arithmetic sequence where a1 = 26 and a22 = - 226

First determine the common difference by the equation,

d = (an - a1) / (n - 1)

Using the given values,

d = (-226 - 26) / (22 - 1) = - 12

Then, determine the 31st term,

a31 = a1 + (31 - 1) x (d)

Substituting,

a31 = 26 + (30) (-12) = - 334

Therefore, the 31st term is - 334.