Question

The table shows the first 4 terms of the patterns.

Which statement best describes the relationship between the corresponding terms in Pattern A and Pattern B?

Terms in Pattern B are double the corresponding terms in Pattern A.
Terms in Pattern B are 4 more than the corresponding terms in Pattern A.
Terms in Pattern A are double the corresponding terms in Pattern B.
Terms in Pattern A are 4 less than the corresponding terms in Pattern B.

Term Pattern A Pattern B
1 0 0
2 4 8
3 6 12
4 8 16

Answer 1

Terms in Pattern B are double the corresponding terms in Pattern A

Answer 2

Option A.

Explanation:

To find the relationship between the corresponding terms in pattern A and pattern B.

We will go through each option given.

(A) Pattern A = 4 6 8

Pattern B = 8 12 16

Which shows 8 = 2 × 4

12 = 2 × 6

16 = 2 × 8

So the option A is correct.

Option B : Incorrect

Terms of pattern B = Terms of pattern A + 4

12 = 6 + 4 = 10

but 12 ≠ 10

Option C : incorrect

Terms of pattern A = 2(Terms of pattern B)

4 = 2 × 8 = 16

but 4 ≠ 16

Option D : incorrect

Terms in pattern A = Terms in pattern B - 4

6 = 12 - 4 = 8

but 6 ≠ 8

Therefore option A is the answer.