Question

consider the two patterns described below.
pattern rule starting number
j multiply by 5 1
k add 8 0
which of the following shows the two patterns?
a.
pattern term 1 term 2 term 3 term 4 term 5
j 1 5 25 125 625
k 0 8 64 512 4,096
b.
pattern term 1 term 2 term 3 term 4 term 5
j 1 5 25 125 625
k 0 8 16 24 32

Explanation:

Step1: Calculate Pattern J terms

Start with 1, multiply by 5 each time:
Term1: $1$
Term2: $1 \times 5 = 5$
Term3: $5 \times 5 = 25$
Term4: $25 \times 5 = 125$
Term5: $125 \times 5 = 625$

Step2: Calculate Pattern K terms

Start with 0, add 8 each time:
Term1: $0$
Term2: $0 + 8 = 8$
Term3: $8 + 8 = 16$
Term4: $16 + 8 = 24$
Term5: $24 + 8 = 32$

Step3: Match to options

Compare calculated terms to the given options.

Answer:

B.
Pattern Term1 Term2 Term3 Term4 Term5
J 1 5 25 125 625
K 0 8 16 24 32