The relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have Pattern A starts at 0 and has the rule "add 3"
Pattern A:
0, 3, 6, 9, 12.....and so on
Pattern B starts at 0 and has the rule "add 6."
Pattern B:
0, 6, 12, 18, 24, 30.... and so one
In the pattern A we can find the nth term:
First term = 0, common difference = 3
A(n) = 0 + (n-1)3 = 3(n-1)
Similarly in the pattern B we can find the nth term
First term = 0, common difference = 6
B(n) = 0 + (n-1)6 = 6(n-1)
The relation can be derived between the nth term of pattern A and pattern B as follows:
B(n) = 2A(n)
Thus, the relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.
Learn more about the sequence here:
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