The Inductive reasoning allows to use observation to find the next three
values in the number pattern 1, 4, 7, 10, . . .
The correct answer is option (B)
What is inductive reasoning?
- It is a reasoning that is based on patterns you observe.
- By observing the pattern in the sequence, we can use inductive reasoning to decide the next successive terms of the sequence.
- A conclusion you reach using inductive reasoning is called a conjecture
For given example,
We have been given the number pattern 1, 4, 7, 10, . . .
Here, 4 - 1 = 3 ..................(i)
7 - 4 = 3 ..................(ii)
10 - 7 = 3 ..................(iii)
From (i), (ii) and (iii),
the common difference between consecutive terms is 3.
The next three values would be,
10 + 3 = 13
13 + 3 = 16
16 + 3 = 19
So, the number pattern would be 1, 4, 7, 10, 13, 16, 19, . . .
Therefore, an Inductive reasoning allows to use observation to find the next three values in the number pattern 1, 4, 7, 10, . . .
The correct answer is option (B)
Learn more about the inductive reasoning here:
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