by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.
We are given a sequence:
3 / 4, 2 / 3, 5 / 8, 3 / 5
We need to find the next two terms by using the inductive reasoning.
Now, we can also write this sequence as:
3 / 4, 4 / 6, 5 / 8, 6 / 10
Now, we can see that, in each term, the numerator is increasing by 1 and the denominator is increasing by 2 units.
So, the 5th term will be:
Numerator = 6+ 1 = 7
Denominator = 10 + 2 = 12
5th term = 7 / 12
And the 6th term will be:
Numerator = 7 + 1 = 8
Denominator = 12 + 2 = 14
6th term = 8 / 14 = 4 / 7
Therefore, by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.
Learn more about inductive reasoning here:
https://brainly.com/question/1490615
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