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A student says that the sequence 15, 11, 7, 3, ldots is not an arithmetic progression because its terms are decreasing. What is the correct evaluation of this statement?

Answer and explanation

Correct answer: It is an AP because each consecutive difference is (-4 ).

This is an AP since 11−15=−4, 7−11=−4, and 3−7=−4. A negative common difference makes terms decrease but does not stop it from being an AP. Exam tip: compare consecutive differences.

Related tags

Arithmetic ProgressionCommon DifferenceAp IntroductionNegative Common DifferenceSequence AnalysisClass 10 MathematicsIntroduction To Aps And Common Difference.Introduction To Aps And Common Difference

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