The table below shows a pattern or rule of numbers.
Answers
Given: Here we have given a table
To find: we have to find the middle ?
Solution:
- Considering the first row
as we observe the pattern the multiplication of the first and last term is the middle term
So,
3×2=6
- Considering the last row
as we observe the pattern the multiplication of the first and last term is the middle term
So,
7×6=42
- Considering the middle term
as we observe the pattern the multiplication of the first and last term is the middle term
5×4=20
Final answer:
Hence the answer is 20
So, Option A is the correct option
Answer:
The answer is 20
Step-by-step explanation:
One problem-solving strategy often used in mathematics is to look for a pattern. When investigating problems, a student can often notice a relationship between numbers. This relationship can help solve a problem by reducing the number of steps needed to reach a solution.
Step 1: Create a table
The first step in finding a pattern is to create a table showing the relationships that are there. For example, suppose the problem was to find the next three numbers in the sequence 2, 4, 6, 8. They are connected in a simple way, so 2 +2 is 4 +2 is 6 +2 is 8. to extend the pattern, 8 +2 is 10, + 2 is 12 +2 is 14. So the next three numbers are 10, 12 and 14.
Step 2: Find the relationship between the numbers
In the previous example, the relationship was very simple because the pattern was the set of the first 7 even numbers. 1 +4 is 5 +9 is 14 +16 is 30 +25 is 55. The numbers are not even equidistant from each other.
Step 3: Make a prediction
What do these numbers have in common? Once the pattern is found, it is possible to predict what the next numbers will be. These differences of 1, 4, 9, 16 and 25 have a pattern in themselves. These are the first 5 square numbers because 12 is 1, 22 is 4, 32 is 9, 42 is 16 and 52 is 25. So the next difference can be 62 or 36 and 55 + 36 = 91. The next square of the number will be 72 or 49 and 91 + 49 = 140. The next number squared will be 82 or 64 and 140 + 64 = 204.
Step 4: Check the answer
The sequence with the next three numbers is 1, 5, 14, 30, 55, 91, 140, and 204. The pattern fits each step of the sequence. If the numbers were added carefully, it would be easy to check each one because 1 + 4 is 5, 5 + 9 is 14, 14 + 16 is 30, 30 + 25 is 55, 55 + 36 is 91, 91 + 49 is 140, and 140 + 64 is 204. The next second number will be 81 (92) and 204 + 81 is 285.
Given: Here we have given a table
To find: do we need to find the middle?
Solution:
Given the first row
as we observe the pattern, the multiplication of the first term and the last term is the middle term
So,
3*2=6
With regard to the last row
as we observe the pattern, the multiplication of the first term and the last term is the middle term
So,
7*6=42
With regard to the medium term
as we observe the pattern, the multiplication of the first term and the last term is the middle term
5*4=20
Final answer:
So the answer is 20
So option A is correct
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