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Class 10 Mathematics Arithmetic Progressions (AP)Introduction to APs and common difference.Hard

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When will the sequence (7, 7+p, 7+3p, 7+6p,\ldots) be an arithmetic progression?

Answer and explanation

Correct answer: Only when (p=0)

The consecutive differences are (p,2p,3p), which are equal only when (p=0). Comparing differences is the safest method.

Related tags

Ap Condition For Ap Algebraic Sequence Hard Introduction To Aps And Common Difference.Introduction To Aps And Common Difference Arithmetic Progressions (Ap)Arithmetic Progressions Ap

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