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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 a₆ = 28 and a₁₁ = 3a₆ + 6, what is a₃₁?

Answer and explanation

Correct answer: 338

First, a₁₁ = 3(28) + 6 = 90. From a₆ to a₁₁ there are 5 equal steps, so 5d = 90 − 28 = 62. Thus a₃₁ = a₆ + 25d = 28 + 25(62/5) = 338.

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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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