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Chapter 3: Q2. WE (page 107)

Look for a pattern and predict the next two numbers in each sequence.

18,  15,  12,  9,  ....

Short Answer

Expert verified

Sequence with next two numbers is 18, 15, 12, 9, 6¯, 3¯, ....

Step by step solution

01

Step 1. Define deductive and inductive reasoning.

Deductive reasoning is conclusions based on accepted statements like a theorem, postulate, facts etc.

Inductive reasoning is conclusions based on several past observations.

02

Step 2. Look for a pattern.

While looking for a pattern in the sequence 18,15,12,9,....reason inductively that is., we can conclude based on past observations

As,

18−15=315−12=312−9=3

So, the pattern of the sequence is that the next term is 3 less than the current term.

03

Step 3. Predict the next two numbers of the sequence.

Since, the pattern of the sequence is that the next term is 3 less than the current term So, the next two term of the sequence will be,

9−3=6and 6−3=3

Therefore, the sequence will be 18, 15, 12, 9, 6¯, 3¯, ....

Therefore, sequence with next two numbers is 18, 15, 12, 9, 6¯, 3¯, ....

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