Illustrating Arithmetic Sequence using different patterns

Illustrating Arithmetic Sequence

1. Illustrating Arithmetic Sequence Math Presentation

2. Saulog Transit Inc. is one of the many bus transportation companies in the Philippines servicing routes between Cavite and Metro Manila, Olongapo or Baguio City. One day, on its way back to its terminal at Mendez, via Aguinaldo Highway, one (1) passenger went down at SM City Bacoor, then, another four (4) passengers went down to Robinson’s Place Imus, seven (7) passengers went down to Robinson’s Place Pala-Pala and ten (10) passengers went down to Lourdes Church at Tagaytay.

3. List down the number of passengers who went down in each place. Does it form sequence? If it does, how is the sequence formed?

4. Example 1 Using the generated sequence from the previous scenario: Arithmetic Sequence Subtracting two consecutive terms              

5. The sequence generated from the given scenario which is 1, 4, 7, 10 is an example of an Arithmetic Sequence because it is formed by adding a constant number which is 3 to the preceding term to obtain the next. The constant number 3 is the common difference, denoted as d, which can be obtained by subtracting two consecutive terms  

6. How is an Arithmetic Sequence formed? An Arithmetic Sequence is formed by adding a constant (fixed) number from the previous term. The constant number being added is called the common difference (𝒅). How can the common difference in an arithmetic sequence be obtained? By subtracting any two consecutive terms:  

7. “How well do you know me?” Which of the following sequences is an arithmetic sequence? Why?

8. What is an arithmetic sequence? An arithmetic sequence is a sequence where every term after the first is obtained by adding a constant. Common difference (d) is the constant number added to the preceding term of the arithmetic sequence. It can be calculated by subtracting any two consecutive terms in the arithmetic sequence.

9. Determine whether the given sequence is arithmetic sequence or not. Draw a if the sequence is an arithmetic sequence and a if NOT. If the sequence is an arithmetic sequence, find the common difference.

10. Thank You!