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)

Question

Answered

Sagot :

Xconorxid Xconorxid · Answer 1

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

[tex]P=25(3)^{n}[/tex]

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,

brainly.com/question/11385300?referrer=searchResults