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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?

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.

Related tags

ApTerm Number SquareNot ApHardIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)Arithmetic Progressions Ap

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