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Determine the number of terms in G.P. `<>,ifa_1=3,a_n=96a n dS_n=189.`

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To determine the number of terms in the geometric progression (G.P.) given the first term \( a_1 = 3 \), the \( n \)-th term \( a_n = 96 \), and the sum of the first \( n \) terms \( S_n = 189 \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the given values**: - First term \( a_1 = 3 \) - \( n \)-th term \( a_n = 96 \) - Sum of the first \( n \) terms \( S_n = 189 \) ...
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Determine the number of terms in G.P. if a_1=3,a_n=96 and S_n=189 .

Determine the number of terms in a G.P., if a_1=3,a_n=96 ,a n dS_n=189.

Knowledge Check

  • The sum of terms of a G.P if a_(1)=3,a_(n)=96 and S_(n)=189 is

    A
    5
    B
    6
    C
    7
    D
    8

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