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If a new sequence (3^2, 7^2, 11^2,\ldots) is formed from (3, 7, 11,\ldots), what type will the new sequence be?
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Answer and explanation
Correct answer: Not an arithmetic progression because differences are not equal
The new terms are (9,49,121), and the differences are (40,72), which are not equal. Squaring generally does not preserve an arithmetic progression.
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What is the correct answer to this question?
Not an arithmetic progression because differences are not equal
Why is this the correct answer?
The new terms are (9,49,121), and the differences are (40,72), which are not equal. Squaring generally does not preserve an arithmetic progression.
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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