Question

Identify the relationship between corresponding terms of two patterns starting at zero. The first pattern follows the rule "add 10." The second pattern follows the rule "add 5."

A) The terms in the first pattern are 2 times the terms in the second pattern.
B) The terms in the second pattern are 2 times the terms in the first pattern.
C) The terms in the first pattern are 5 more than the terms in the second pattern.
D) The terms in the second pattern are 5 more than the terms in the first pattern.

Complete the table based on the rule. Enter answers in order from top to bottom.
In 5, Out ?
In 10, Out ?
In 15, Out ?
In 20, Out 4
A) 0, 1, 2
B) 1, 2, 3
C) 2, 3, 4
D) 3, 4, 5

Find the rule to complete the table.
In 1, Out 5
In 2, Out 6
In A, Out 7
In 4, Out 8
In 5, Out B
A) A=2, B=8
B) A=2, B=9
C) A=3, B=8
D) A=3, B=9

Answer 1

The relationship between the two patterns is that the terms in the second pattern are 5 more than the terms in the first pattern.

Step-by-step explanation:

The relationship between corresponding terms of the two patterns starting at zero can be determined by analyzing the rules of each pattern.

For the first pattern, which follows the rule 'add 10,' if we start with zero and add 10 for each subsequent term, the pattern would be: 0, 10, 20, 30, and so on.

For the second pattern, which follows the rule 'add 5,' if we start with zero and add 5 for each subsequent term, the pattern would be: 0, 5, 10, 15, and so on.

Based on the analysis of the two patterns, we can conclude that the correct answer is option D) The terms in the second pattern are 5 more than the terms in the first pattern.