Question

Create a number pattern that follows the rule x6−4. Use at least three terms in the pattern.

a) 2, 8, 14
b) 0, 5, 10
c) 1, 7, 13
d) 3, 9, 15

Answer 1

The number patterns in options (a) and (c) follow the rule x6−4 by adding 6 to each subsequent term after subtracting 4.

Step-by-step explanation:

To determine the correct number pattern that follows the rule x6−4, we need to apply this rule to each term in the sequences given.

• Applying the rule to option (a) we get: 2−(2×6)=8, 8−(2×6)=14, and so on. This fits the pattern of adding 6 to each term after subtracting 4.
• Option (b) does not follow the x6−4 pattern because the difference between consecutive terms is not consistent with the rule.
• Applying the rule to option (c) we get: 1−(1×6)=7, 7−(1×6)=13, maintaining the pattern of adding 6 after subtracting 4.
• Option (d), like option (b), does not follow the x6−4 pattern for similar reasons.

Hence, the sequences in option (a) and (c) are correct examples of patterns following the x6−4 rule.