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

9×9+7=8898×9+6=888987×9+5=8888

Short Answer

Expert verified

The next equation must be 9876×9+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

9×9+7=8898×9+6=888987×9+5=8888

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

As,

99898771615888888888

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:

9989879876¯7161514¯88888888888888¯

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

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