Input-Output Rules Practice Test

A number pattern is generated by a rule. The first number in the pattern (Input 1) is 7. The second number (Input 2) is 11. The third number (Input 3) is 15. If the pattern continues, what is the rule to find the number for any input position?

A machine processes numbers using a consistent two-step rule. An input of 10 results in an output of 7. An input of 16 results in an output of 10. If a number is put into the machine and the output is 13, what was the input?