Question

Erica is studying two number patterns. Pattern A starts at 0 and has the rule "add 5." Pattern B starts at 0 and has the rule "add 10." What is the relationship between corresponding terms in the two patterns? The terms in Pattern B are 5 times the corresponding terms in Pattern A. The terms in Pattern B are 2 times the corresponding terms in Pattern A. The terms in Pattern B are one half the corresponding terms in Pattern A. The terms in Pattern B are one fifth the corresponding terms in Pattern A.

Answer 1

Answer:

The terms in Pattern B are 2 times the corresponding terms in Pattern A

Step-by-step explanation:

Given

Pattern A

$Start = 0$

$Rule: Add\ 5$

Pattern B

$Start = 0$

$Rule: Add\ 10$

Required

The relationship between both patterns

First, we calculate the nth term of both pattern.

For A

$A(n) = Start + Rule$

$A(n) = 0 + 5n$

$A(n) = 5n$

For B

$B(n) = Start + Rule$

$B(n) = 0 + 10n$

$B(n) = 10n$

So, we have:

$A(n) = 5n$

$B(n) = 10n$

B(n) can be expressed as:

$B(n)=2* 5n$

Substitute $A(n) = 5n$

$B(n)=2* A(n)$

This means that the term of B(n) is twice the corresponding term of A(n)