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The third term of a geometric progressio...

The third term of a geometric progression is 4. Then find the product of the first five terms.

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AI Generated Solution

To solve the problem, we need to find the product of the first five terms of a geometric progression (GP) given that the third term is 4. Let's break this down step by step. ### Step 1: Understand the terms of a geometric progression In a geometric progression, the terms can be expressed as: - First term: \( a \) - Second term: \( ar \) - Third term: \( ar^2 \) - Fourth term: \( ar^3 \) ...
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Knowledge Check

  • If the third term of a G.P. is 42, then find the product of its first five terms

    A
    (a) `42`
    B
    (b) `42^(5)`
    C
    (c) `98`
    D
    (d) `25^(5)`

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