Given,
The salary for the technician from shop A is $900 per week.
The salary for the technician from shop B is $25 per hour.
The equation for the total pay for shop B is,

Taking the total pay as 900. As, to make the shop A and shop B equal.

Hence, he would have to log 36 hours during a week at Shop B in order to match the salary at Shop A.
The first five terms of the sequence are 1, 4, 7, 10, 13.
Solution:
Given data:


General term of the arithmetic sequence.
, where d is the common difference.
d = 3

Put n = 2 in
, we get



Put n = 3 in
, we get



Put n = 4 in
, we get



Put n = 5 in
, we get



The first five terms of the sequence are 1, 4, 7, 10, 13.
The answer is going to be yes it's rational. hope that helped