NCERT · Class 11 · Mathematics · Sequences and SeriesWhat is the geometric mean (G.M.) between 2 and 8?
Step-by-Step Solution
The geometric mean of two positive numbers $a$ and $b$ is given by $\sqrt{ab}$. Here, $a = 2$ and $b = 8$. Therefore, G.M. = $\sqrt{2 \times 8} = \sqrt{16} = 4$. Thus, the correct option is A.
Detailed Options Breakdown
Option : 4 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.
Option 2: 6
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.
Option 3: 16
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.
💡 Study Guide: This question tests core syllabus concepts from Sequences and Series. For formulas, key summaries, and mock exam reference guides, read the full Sequences and Series Revision Notes.