Answer
361.8k+ views
Hint: In the given question families are called by the principal’s secretary initially and then other families are called by the already called family and this is how the chain goes on. Now, we are being asked to find the number of families that would be present at the seventh step of this chain and how.
Complete step by step answer:
According to the question, initially the principal’s secretary has called 3 families.
That is, in the first round there are 3 families.
Now these three families are called other three families therefore the second-round number of families becomes ${{3}^{2}}=9$.
Now again these 9 families call the other families which is equal to ${{3}^{3}}=27$ and this is how the chain goes on. Now we can clearly see the pattern that the number of families is given by${{3}^{n}}$where n is the number of rounds.
Therefore, in the seventh round the number of families would be ${{3}^{7}}=2187$ .
Therefore, we can say that 2187 families were notified at the seventh round of the call.
Note: In such a type of question, we basically have to catch the concept and logic behind the question. All we need is to be aware of the concept of the power and exponent and do it accordingly and there are very chances of error in this question as we just need to evaluate the number raised to some power 7 which can be done directly also if there is no time constraint and the base number is small.
Complete step by step answer:
According to the question, initially the principal’s secretary has called 3 families.
That is, in the first round there are 3 families.
Now these three families are called other three families therefore the second-round number of families becomes ${{3}^{2}}=9$.
Now again these 9 families call the other families which is equal to ${{3}^{3}}=27$ and this is how the chain goes on. Now we can clearly see the pattern that the number of families is given by${{3}^{n}}$where n is the number of rounds.
Therefore, in the seventh round the number of families would be ${{3}^{7}}=2187$ .
Therefore, we can say that 2187 families were notified at the seventh round of the call.
Note: In such a type of question, we basically have to catch the concept and logic behind the question. All we need is to be aware of the concept of the power and exponent and do it accordingly and there are very chances of error in this question as we just need to evaluate the number raised to some power 7 which can be done directly also if there is no time constraint and the base number is small.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)