What is the nth term rule of the linear sequence below? 27 , 25 , 23 , 21 , 19 , . .

 The required n-th term is 25+2n.

Step-by-step explanation:  We are given to find the n-th term of the following linear sequence :

27,   25,   23,   21,   19,   .   .    .

We note from the given sequence that

So, the given sequence is an arithmetic sequence with first term 27 and common difference, 2.

We know that the n-th term of an arithmetic sequence with first term a and common difference d is given by

For the given sequence, we have

a = 27  and  d = 2.

Therefore, the n-th term of the given sequence is

Thus, the required n-th term is 25+2n.

B and D

Step-by-step explanation: