The fourth term from the end of the G.P. 8, 4, 2, ….., 1/128 is
Understanding sequences and series is crucial for solving mathematical problems efficiently. This chapter focuses on arithmetic and geometric progressions along with their sums and important formulas like the nth term, sum of n terms, arithmetic mean and geometric mean. To help students grasp these concepts better, multiple-choice questions are provided for practice. Solving these MCQs regularly enhances logical reasoning and improves problem-solving speed. A strong foundation in this topic not only prepares students for board exams but also gives them an edge in competitive exams. With consistent practice, they can develop a deeper understanding of numerical patterns, making complex problems easier to solve in advanced mathematics.
Choice (a) is correct.
The series is a G.P. with a = 8, r = 1/2, l = 1/128
The nth term lₙ from end is given by lₙ = 1/rⁿ ⁻ ¹
The fourth term l₄ from end is given by l₄ = 1/28/(1/2)³ = 8/128 = 1/16
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