In an arithmetic sequence, a14=-75 and a26=-123 which recursive formula defines the sequence?
a. an=an-1-4; a1=-23
b. an=an-1-4; a1=-19
c. an=-4an-1-19; a1=-23
d. an=-4an-1-19; a1=-19

Just took the test. The answer is definitely A.

A is the correct option.

Step-by-step explanation:

We have been given that

The general term of an arithmetic sequence is given by

Now, for 14th term,

Similarly, for 26th term

Subtract equation 1 and 2

From equation 1

Hence, the first term is

Now, since the common difference d is -4.

Hence, the recursive formula is