In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as
the previous round. Let n represent the number of rounds
and p represent the number of points. Which equation to
the right shows the number of points available, p, in round
n of the game show? (1 point)

Equation representing the number of points 'P' in 'n' games will be

Explicit formula of the Geometric sequence:

   a, ar, ar², ar³........arⁿ

      There is a common ratio of 'r' in each successive term to the

      previous term.

      Therefore, it's a geometric sequence.

   Explicit formula of a geometric sequence is given by,

       (For n ≥ 1)

      Here, First term

       Common ratio

       nth term

Given in the table,

   Common ratio (r) of any successive term to the previous term,

   First term of the sequence 'a' = 25

Explicit formula of the sequence will be,

[For n ≥ 0]

      Therefore, equation representing the number of points 'P' in 'n' games will be .

Learn more about the geometric sequence here,

5+2x=a

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