📐 Mathematics · Sequences and Series · JEE

Between two numbers a and b, n geometric means are inserted. The product of all n means equals:

Answer: (ab)^n/2.

Correct answer: A. (ab)^n/2

Explanation: The n geometric means form a GP between a and b. Their product = (ab)^n/2. This follows because the means pair up symmetrically.

Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.

Concept context

Arithmetic progressions, geometric progressions, and sums