A School Sets A Fine Of P30.00 For The First Littering Offense. The Fine Increases By P5.00 For Each Subsequent Offense., 2022do You Think This Situat

A school sets a fine of P30.00 for the first littering offense. The fine increases by P5.00 for each subsequent offense.

•Do you think this situation illustrates a pattern of arithmetic sequence?
•If so, can you illustrate the first five terms of the arithmetic sequence?

 

Answer:

Yes, the situation illustrates an arithmetic sequence because it has a common difference of 5 between consecutive terms.

The sequence: 30, 25, 40, 45, 50

Step-by-step explanation:

The offenses are the terms a₁, a₂, a₃, a₄, a₅.

First offense, a₁ = 30

Add 5 to the succeeding/subsequent offense:

a₂ = 30 + 5 = 35  (second offense)

a₃ = 35 + 5 = 40  (third offense)

a₄ = 40 + 5 = 45 (fourth offense)

a₅ = 45 + 5 =  50  (fifth offense)

Therefore, the first five terms representing the first five offenses are:

30, 25, 40, 45, 50

Where there is common difference (d) of 5.

Therefore, the situation illustrates an arithmetic sequence because it has a common difference of 5 between consecutive terms.