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If the first and the nth terms of a GP a...

If the first and the nth terms of a GP are a and b respectively and if P is the product of the first n terms, then `P^(2)` is equal to

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To solve the problem, we need to find \( P^2 \) where \( P \) is the product of the first \( n \) terms of a geometric progression (GP) with the first term \( a \) and the \( n \)th term \( b \). ### Step-by-Step Solution: 1. **Identify the first and nth terms of the GP:** - The first term \( a_1 = a \). - The nth term \( a_n = ar^{n-1} = b \), where \( r \) is the common ratio. ...
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Knowledge Check

  • If the first second and last terms of an A. P. are a, b and 2a respectively, its sum is :

    A
    `(ab)/(2(b-a))`
    B
    `(ab)/(b-a)`
    C
    `(3ab)/(2(b-a))`
    D
    None of these
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