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. ...
Comments
Post a Comment