(08.01)
identify the 31st term of an arithmetic sequence where a1 = 26 and a22 = −226. (2 points)

−334
−274
−284
−346
score: 2 of 2

Identify first the common difference of the arithmetic sequence by the following,
 
                                           d = (a22 - a1) / 22 - 1 
 
                                       d = (-226 - 26) / 22 -1 = -12

Solving for the 31st term, 
 
                                      a31 = a1 + (n - 1)d
 
                                   a 31 = 26 + (31 - 1)(-12)

                                       a 31 =  -334

Therefore, the answer is letter A. -334. 

The answer of this question is 672 .