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What will be the next two terms in (40,35,30,25,\ldots)?

Answer and explanation

Correct answer: (20, 15)

The difference between consecutive terms is constant: \(35-40=-5\), \(30-35=-5\), and \(25-30=-5\). Hence, this is an AP with common difference \(-5\). Therefore, the terms after 25 are \(25-5=20\) and \(20-5=15\). In option (22, 19), the difference is \(-3\), so it does not continue the AP. Exam tip: Find the difference between consecutive terms first, then apply the same difference to get the next terms.

Related tags

Arithmetic ProgressionCommon DifferenceNext TermsClass 10 MathematicsAp BasicsIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)

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