Question

Consider the two patterns described below.

Pattern Rule Starting
Number
I Add 18 0
J Add 6 0

Which of the following sentences describes the relationship between the corresponding terms in the two patterns?
A.
The terms in pattern J are 12 less than the corresponding terms in pattern I.

B.
The terms in pattern J are 3 times smaller than the corresponding terms in pattern I.

C.
The terms in pattern J are 12 more than the corresponding terms in pattern I.

D.
The terms in pattern J are 3 times the size of the corresponding terms in pattern I.

Answer 1

Answer: B.

Reason: The nth term of pattern I is 18n and of pattern J is 6n, so J_n = (1/3)·I_n. For example, 18 and 6, 36 and 12 — each J-term is one-third (i.e. "3 times smaller") than the corresponding I-term.