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Chapter 3: Q15. (page 108)

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

1脳9+2=1112脳9+3=111123脳9+4=1111

Short Answer

Expert verified

The next equation must be 1234脳9+5=11111.

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

1脳9+2=1112脳9+3=111123脳9+4=1111

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

As,

1鈫�12鈫�1232鈫�3鈫�411鈫�111鈫�1111

And 9 is fixed.

03

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

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

1鈫�12鈫�123鈫�1234炉2鈫�3鈫�4鈫�5炉11鈫�111鈫�1111鈫�11111炉

Therefore, the next equation must be 1234脳9+5=11111.

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