How Is Each Term (Number Of Matchsticks) Found?
How is each term (number of matchsticks) found?
Answer:
To get the next term or each term (number of matchsticks), add the common difference to the previous term.
Step-by-step explanation:
The activity on the number of matchsticks illustrates a sequence where the difference between any two consecutive term is a constant. This constant is called common difference and the said sequence is called arithmetic sequence.
The table below represents the number of squares along side the number of matchsticks used to form the square
No. of squares : 1 2 3 4
No. of matchsticks: 4 7 10 13
Notice that when forming 1 square, 4 matchsticks are needed, for 2 squares 7 matchsticks are needed since the two squares formed were sharing 1 side for theyre adjacent to each other. Continuing the pattern for the number of matchstick, notice that there is a pattern formed. Where if you subtract two consecutive terms, that is; 2nd term minus the 1st term, or 3rd term minus the 2nd term, or 4th term minus the 3rd term, and so on, the difference is 3, therefore, in order to get the next term (the number of matchsticks), add the common difference 3 to the previous term, example,
2nd term - 1st term 3rd term - 2nd term 4th term - 3rd term
7 - 4 = 3 10 - 7 = 3 13 - 10 = 3
So, to continue the table, just add 3 to the previous number of matchsticks corresponding to the number of squares formed.
No. of squares : 1 2 3 4 5 6
No. of matchsticks: 4 7 10 13 13 + 3 = 16 16 + 3 = 19 and so on
Basically, to get the next term or each term, add the common difference to the previous term.
The code is 10.3.1.1.1.
To learn more about arithmetic sequences and finding the next term, please click the links below;
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