Abowling alley offers special weekly bowling rates. the weekly rates are 5 games for $15, 6 games for $17.55, 7 games for $20.10, and 8 games for $22.65. if this pattern continues, how much will it cost to bowl 10 games in a week?

Step-by-step explanation:

Given the following rates;

5 games for $15, 6 games for $17.55, 7 games for $20.10, and 8 games for $22.65

Let a be the first term = $15

d = common difference = $17.55 - $15

d = $2.55

10 games will be the 6th term given that 5 games is the first term

Using the nth term of an A.P

Tn = a + (n - 1)d

T6 = 15 + (6 - 1)2.55

T6 = 15 + 12.75

T6 = $27.75

if this pattern continues, 10 games in a week will cost $27.75