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


Respuesta :

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

Answer:

Option A.

Step-by-step 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.