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In an arithmetic progression (AP), a₂ₘ = 58, aₘ = 31, and the common difference d = 3. What is the value of m?

Answer and explanation

Correct answer: 9

The index difference between a₂ₘ and aₘ is 2m − m = m, so a₂ₘ − aₘ = md. Thus 58 − 31 = 3m, giving 27 = 3m and m = 9.

Related tags

Arithmetic ProgressionFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)Arithmetic Progressions ApMathematicsClass 10 Mcq

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