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
