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What is the common difference of the sequence (1.4,1.9,2.4,2.9,\ldots)?

Answer and explanation

Correct answer: 0.5

The common difference is found by subtracting a term from the next term. Here, \(1.9-1.4=0.5\) and \(2.4-1.9=0.5\). Since the difference between consecutive terms is the same, the common difference is \(0.5\). Option \(0.4\) is a distractor because it is not the difference between consecutive terms. Exam tip: Check at least two consecutive differences to confirm an AP.

Related tags

Arithmetic ProgressionCommon DifferenceDecimal SequenceClass 10 MathematicsIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)Arithmetic Progressions Ap

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