Question

A table is made using the following two patterns.

Pattern 2: Starting number: 5, Rule: Multiply by 3
1
Pattern y: Starting number: 20, Rule: Multiply by
2
Complete the table for the given patterns.
C
y
5
20

Answer 1

The table is completed by applying the multiplication rules to each pattern: multiply each number by 3 for Pattern 2 and by 2 for Pattern Y, with the resulting sequences being 5, 15, 45, 135, 405 for Pattern 2 and 20, 40, 80, 160, 320 for Pattern Y.

Step-by-step explanation:

The student's question asks to complete a table based on two given patterns. Pattern 2 starts with the number 5 and follows the rule of multiplying by 3, while Pattern Y starts with the number 20 and multiplies by 2.

To complete the table, we'll calculate the first few values following these rules. Here's the step-by-step explanation for each pattern:

1. Pattern 2: Starting with 5, we multiply by 3. Thus, the subsequent numbers in the pattern would be 5, 15, 45, 135, and so on. We multiply each number by 3 to get the next.
2. Pattern Y: Starting with 20, we multiply by 2. The sequence of numbers would be 20, 40, 80, 160, and so forth, doubling each time to obtain the next number.

The table would look as follows (assuming five entries for each pattern):

Pattern 2Pattern Y52015404580135160405320

Answer 2

x y

5 20

15 10

45 5

Step-by-step explanation:

Pattern x:

Start with 5.

Multiply by 3: 5 * 3 = 15

Multiply by 3: 15 * 3 = 45

Pattern x:

Start with 20.

Multiply by 1/2: 20 * 1/2 = 10

Multiply by 1/2: 10 * 1/2 = 5

x y

5 20

15 10

45 5