Answer:
There are 24 more trumpet players than clarinet players
Step-by-step explanation:
The given information are;
The recursive rule or the number of band members in a row is f(n) = f(n - 1) + 8
Where f(1) = 13
The members of the band players in row 1 = The clarinet players
The members of the band players in row 4 = The trumpet players
Therefore, the number of clarinet players = f(1) = 13
The number of band members in row 2, f(2) = f(1) + 8 = 13 + 8 = 21
The number of band members in row 3, f(3) = f(2) + 8 = 21 + 8 = 29
The number of band members in row 4, f(4) = f(3) + 8 = 29 + 8 = 37
Therefore, given that the trumpet players are in row 4, the number of trumpet players = The number of band members in row 4 = 37 Trumpet players
The difference in the number of trumpet and clarinet = The number of more trumpet players than clarinet players = 37 - 13 = 24 more trumpet players than clarinet players
There are 24 more trumpet players than clarinet players.