Complete the table using the given rules, then compare pattern A to pattern B

Question

pattern A : 8 _ _ _
Add 3

Pattern B : 24 _ _ _
Add 9

Which statement is true?

Each term in pattern B is three times the corresponding term and pattern A.

Each term pattern be can be only found by subtracting the corresponding term in pattern A from 32.

Answer 1

Let's complete both patterns following the given rules.

Pattern A:

• Start with 8.
• Add 3 to each previous term.

1. 8 (First term)
2. 8 + 3 = 11 (Second term)
3. 11 + 3 = 14 (Third term)
4. 14 + 3 = 17 (Fourth term)

So, Pattern A is:
8, 11, 14, 17

Pattern B:

• Start with 24.
• Add 9 to each previous term.

1. 24 (First term)
2. 24 + 9 = 33 (Second term)
3. 33 + 9 = 42 (Third term)
4. 42 + 9 = 51 (Fourth term)

So, Pattern B is:
24, 33, 42, 51

Now, let's analyze the statements:

1. Each term in Pattern B is three times the corresponding term in Pattern A.

   • 24 (Pattern B) is not 3 times 8 (Pattern A) = 24 (True for the first term)
   • 33 (Pattern B) is not 3 times 11 (Pattern A) = 33 (True for the second term)
   • 42 (Pattern B) is not 3 times 14 (Pattern A) = 42 (True for the third term)
   • 51 (Pattern B) is not 3 times 17 (Pattern A) = 51 (True for the fourth term)

   So this statement is True.

2. Each term in Pattern B can be only found by subtracting the corresponding term in Pattern A from 32.

   • 32 - 8 = 24 (True)
   • 32 - 11 = 21 (False, does not equal 33)
   • 32 - 14 = 18 (False, does not equal 42)
   • 32 - 17 = 15 (False, does not equal 51)

   Hence, this statement is False.

Conclusion:

The true statement is: Each term in Pattern B is three times the corresponding term in Pattern A.