In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round. Round 0 1 2 3 n

Points 25 75 225 675

Which equation shows the number of points available, p, in round n of the game show?

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

The above shows a geometric progression.

So, we solve using

In

n = 0 and p = 25

Substitute these values in

In

n = 1 and p = 75

Substitute these values in

Substitute 25 for a

Make b the subject

So, we have:

and

The equation becomes

take it another