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Chapter 3: Q16. (page 108)

For each exercise, write the equation you think should come next. Check your prediction with a calculator.

9脳9+7=8898脳9+6=888987脳9+5=8888

Short Answer

Expert verified

The next equation must be 9876脳9+4=88888.

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

9脳9+7=8898脳9+6=888987脳9+5=8888

reason inductively that is., we can conclude based on past observations

As,

9鈫�98鈫�9877鈫�鈭�16鈫�鈭�1588鈫�888鈫�8888

And 9 is fixed.

03

Step 3. Predict the next equation.

So, as per the pattern of the sequence, next terms in the equation will be:

9鈫�98鈫�987鈫�9876炉7鈫�鈭�16鈫�鈭�15鈫�鈭�14炉88鈫�888鈫�8888鈫�88888炉

Therefore, the next equation must be 9876脳9+4=88888.

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