3n+6 If n represents the position of a number in the pattern, which of the following is the pattern of numbers decribed by the expression? f. 1,9,12,15,18 g.6,12,22,36,54 h. 9,12,15,18,21 j. 3,9,12,15,21
To determine which of the given patterns matches the expression 3n + 6, we can substitute different values of n and observe the resulting numbers.
Let's plug in n = 1:
3(1) + 6 = 3 + 6 = 9
Plugging in n = 2:
3(2) + 6 = 6 + 6 = 12
Plugging in n = 3:
3(3) + 6 = 9 + 6 = 15
Based on these calculations, we can see that the pattern of numbers described by the expression 3n + 6 matches option j.
Thus, the correct answer is j. 3,9,12,15,21.