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If the square of the term number is added to each term of (1,4,7,\ldots), what type will the new sequence be?
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Answer and explanation
Correct answer: Not an arithmetic progression because new differences will not be equal
The new terms are (2,8,16,\ldots), and the differences are (6,8,\ldots), which are not equal. Adding squares of term numbers does not preserve equal difference.
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What is the correct answer to this question?
Not an arithmetic progression because new differences will not be equal
Why is this the correct answer?
The new terms are (2,8,16,\ldots), and the differences are (6,8,\ldots), which are not equal. Adding squares of term numbers does not preserve equal difference.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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