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If a new sequence (4^2,9^2,14^2,\ldots) is formed from (4,9,14,\ldots), is the new sequence an arithmetic progression?
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Answer and explanation
Correct answer: No because consecutive differences are not equal
The new terms are (16,81,196), and the differences are (65,115), which are not equal. Squaring generally does not preserve an arithmetic progression.
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What is the correct answer to this question?
No because consecutive differences are not equal
Why is this the correct answer?
The new terms are (16,81,196), and the differences are (65,115), 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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