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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, if a₅ = 31 and a₁₂ + a₁₉ = 242, what is a₃₃?

Answer and explanation

Correct answer: 271

Using aₙ = a₅ + (n − 5)d, we get a₁₂ + a₁₉ = (31 + 7d) + (31 + 14d) = 242. Hence 21d = 180, so d = 60/7. Therefore, a₃₃ = 31 + 28(60/7) = 271.

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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