MP Board · Class 11 · Mathematics · Sequences and SeriesWhat is the 5th term of the geometric progression (G.P.) 3, 6, 12, ...?
Step-by-Step Solution
The $n$th term of a G.P. is given by $a_n = ar^{n-1}$. Here, the first term $a = 3$, the common ratio $r = 6 / 3 = 2$, and $n = 5$. Substituting these values: $a_5 = 3 \times (2)^{5-1} = 3 \times 2^4 = 3 \times 16 = 48$. Therefore, the correct option is A.
Detailed Options Breakdown
Option : 48 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 24
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.
Option 2: 96
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.
Option 3: 192
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.