Respuesta :

Answer:

111.

Step-by-step explanation:

The terms in an Arithmetic sequence are a1,  a1 + d,  a1 + 2d..... where a1 is the first term and  d is the common difference,

Therefore for this sequence the common difference is (a27 - a1) / 26

=  (66 - (-12) / 26

= 78/26

= 3.

The nth term an = a1 + (n - 1)d,  so

the 42nd term a42 = -12 + (42-1)*3

= -12 + 123

= 111.