Question

The first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. What is the first number that appears in both sequences?

Question 2 options:

16

40

46

52

Answer 1

A) 16

Explanation:

1st sequence: 72-8x

2nd sequence: 58-6x

Set both sequences equal to each other and solve for x:

72-8x=58-6x

14-8x=-6x

14=2x

7=x

x=7

Plug x=7 back into the equation:

72-8(7)=58-6(7)

72-56=58-42

16=16

So the first number that appears in both sequences is 16.