Which term of the series 1 – 1/3 + 1/9 – 1/22 + …. is -(1/243)?
Mathematics is built on patterns and logical progressions, and Chapter 8, Sequences and Series, explores these fundamental ideas in depth. This chapter introduces students to arithmetic and geometric progressions, guiding them through key formulas such as the nth term, sum of n terms, arithmetic mean, and geometric mean. Multiple-choice questions are designed to reinforce understanding and sharpen problem-solving skills. By practicing these MCQs, students can boost their accuracy and confidence, preparing effectively for exams. Mastering sequences and series not only strengthens mathematical foundations but also enhances analytical thinking, making it easier to tackle complex problems in higher studies and competitive exams.
CBSE 2024-2025 NCERT Maths Class 11th CH 8 Sequences and Series MCQ Question
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Choice (d) is correct.
We have a = 1, r = -(1/3)
Let nth term tₙ = -(1/243)
⇒ a.rⁿ ⁻ ¹ = -(1/243) ⇒ 1.(-1/3)ⁿ ⁻ ¹ = (-1/3)⁵
⇒ n – 1 = 5 ⇒ n = 6
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