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

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In an AP, a₆ = 42 and a₁₄ + a₂₂ = 420. What is a₃₈?

Answer and explanation

Correct answer: 490

Using aₙ = a₆ + (n − 6)d, we get a₁₄ + a₂₂ = (42 + 8d) + (42 + 16d) = 84 + 24d = 420, so d = 14. Therefore, a₃₈ = 42 + 32(14) = 490.

Related tags

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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