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Class 10 Mathematics Arithmetic Progressions (AP)Finding the $n$th term of an APExpert

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In an arithmetic progression, a₈ = 46 and a₂₂ = 144. What is a₄₀?

Answer and explanation

Correct answer: 270

The common difference is d = (144 − 46) ÷ (22 − 8) = 7. From the 22nd term to the 40th term there are 18 steps, so a₄₀ = 144 + 18 × 7 = 270.

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Arithmetic Progressions Nth Term Finding The $N$Th Term Of An Ap Finding The N Th Term Of An Ap Arithmetic Progressions (Ap)Arithmetic Progressions Ap Mathematics Class 10 Mcq

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