Question

Consider the two patterns described below.

Pattern Rule Starting
Number
Q Multiply by 3 12
R Multiply by 3 3

Which of the following sentences describes the relationship between the corresponding terms in the two patterns?
A.
The terms in pattern Q are 4 times the corresponding terms in pattern R.

B.
The terms in pattern R are 9 more than the corresponding terms in pattern Q.

C.
The terms in pattern R are 4 times the corresponding terms in pattern Q.

D.
The terms in pattern Q are 9 more than the corresponding terms in pattern R.

Answer 1

A.

Each term of Q = 12·3^(n−1); each term of R = 3·3^(n−1). Their ratio is 12/3 = 4, so every term of Q is 4 times the corresponding term of R (e.g. 12 = 4·3, 36 = 4·9).