Question

Pattern A: start with 12 and add 12 Pattern B: start with 4 and add 2 Which statement best describes the relationship between the corresponding terms of Patter A and Pattern B

Answer 1

Answer:

Each term in Pattern A is equals to 6 times the value of corresponding term in Pattern B and subtract 12

Step-by-step explanation:

Given - Pattern A: start with 12 and add 12

             Pattern B: start with 4 and add 2

To find - Which statement best describes the relationship between the

              corresponding terms of Patter A and Pattern B.

Proof -

To find the relationship between the Pattern a and pattern B , firstly we have to find few terms of both the Patterns , so that we can see how the digits of both the Patterns are realted

Now,

For Pattern A :

1st digit = 12

2nd digit = 12 + 12 = 24

3rd digit = 24 + 12 = 36

4th term = 36 + 12 = 48

5th term = 48 + 12 = 60

.

.

.

and so on

Now,

For Pattern B :

1st digit = 4

2nd digit = 4 + 2 = 6

3rd digit = 6 + 2 = 8

4th term = 8 + 2 = 10

5th term = 10 + 2 = 12

∴ we get

Terms of Pattern A : 12, 24, 36, 48, 60, ....

Terms of Pattern B :  4, 6, 8, 10, 12, ....

As we can see that

4×6 - 12 = 12

6×6 - 12 = 24

8×6 - 12 = 36

10×6 - 12 = 48

12×6 - 12 = 60

.

.

The pattern is - Multiply by 6 in Pattern B and after that subtract by 12 , we get Pattern A.

Term in Pattern A = 6×corresponding term of Pattern B - 12

i.e. , we get

Each term in Pattern A is equals to 6 times the value of corresponding term in Pattern B and subtract 12