Question

Connie is studying two number patterns.Pattern 1 starts at 0 and has the rule "add 4."Pattern 2 starts at 0 and has the rule "add 2."Drag a number into each box to complete Connie's patterns.Drag a phrase into the last box to complete the comparison of thecorresponding terms in each pattern.Pattern 1: 0, ___, ___, ___Pattern 2: 0, ___, ___, ___The terms in Pattern 1 are ______ the corresponding terms in Pattern 22 4 6 8 10 12 14 half two times two more than two less than

Answer 1

To answer this question, we have:

Pattern 1

1. Pattern 1 starts at 0.

2. The rule of pattern 1 is "add 4."

Then, we can write:

• The first term of the pattern 1 = ,0

,

• The second term of the pattern 1 = 0 + 4 = ,4

,

• The third term of the pattern 1 = 4 + 4 = ,8

,

• The fourth term of the pattern 1 = 8 + 4 =, 12

Therefore, we have that:

Pattern 1: 0, 4, 8, 12

Pattern 2

1. Pattern 2 stats at 0.

2. The rule of pattern 2 is "add 2."

Then, we can write:

• The first term of the pattern 2 = ,0

,

• The second term of the pattern 2 is = 0 + 2 = ,2

,

• The third term of the pattern 2 is = 2 + 2 = ,4

,

• The fourth term of the pattern 2 is = 4 + 2 = ,6

Pattern 2: 0, 2, 4, 6

If we see both patterns:

Pattern 1: 0, 4, 8, 12

Pattern 2: 0, 2, 4, 6

If we see the two patterns, we can say that:

The terms in Pattern 1 are two times the corresponding term in Pattern 2.

P1 = 2 * P2

That is:

The first term of pattern 1 is two times the first term of pattern 2:

0 = 2 * 0

The second term of pattern 1 is two times the second term of pattern 2:

4 = 2 * 2

The third term of pattern 1 is two times the third term of pattern 2:

8 = 2 * 4

The fourth term of pattern 1 is two times the fourth term of pattern 2:

12 = 2 * 6

In summary, we have that:

Pattern 1: 0, 4, 8, 12

Pattern 2: 0, 2, 4, 6

The terms in Pattern 1 are two times the corresponding terms in Pattern 2.