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If the square of its term number is added to each term of (7, 11, 15,\ldots), will the new sequence be an arithmetic progression?
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Answer and explanation
Correct answer: No, because new differences will not be equal
The added squares (1,4,9,\ldots) have differences (3,5,\ldots), which are not equal, so the new sequence will not remain arithmetic. Squares of term numbers do not create equal differences.
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What is the correct answer to this question?
No, because new differences will not be equal
Why is this the correct answer?
The added squares (1,4,9,\ldots) have differences (3,5,\ldots), which are not equal, so the new sequence will not remain arithmetic. Squares of term numbers do not create equal differences.
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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