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In an arithmetic progression, if a₂₀ = 6a₈ − 13 and a₈ = 37, what is a₃₂?

Answer and explanation

Correct answer: 381

First, a₂₀ = 6(37) − 13 = 209. From a₈ to a₂₀ there are 12 common differences, so 12d = 209 − 37 = 172. From a₂₀ to a₃₂ there are also 12 common differences; hence a₃₂ = 209 + 172 = 381.

Related tags

Arithmetic ProgressionNth TermFinding 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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