Arithmetic Sequence
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The document describes patterns in sequences and how to identify the 10th term. It explains that the common difference is obtained by subtracting subsequent terms to find the constant difference between each term. Using the common difference, the 10th term can be calculated by adding the common difference to the 9th term.
Arithmetic Sequence
- 4. 1.) 1, 2, 3, 4, 5,1.) 1, 2, 3, 4, 5, 6, 7, 8 2.) 2, 5, 8, 11, _2.) 2, 5, 8, 11, 14, 17, 20 5.) 1, 4, 16, 64, 3.) 5, 10, 15, 20, 25, 30, 35 4.) 1, 2, 4, 8,4.) 1, 2, 4, 8, 16, 32, 64 5.) 1, 4, 16, 64, 256, 1024, 4096 3.) 5, 10, 15, 20,
- 7. By pattern searching, identify the 10th term of the following. 1.) 1, 2, 3, 4, 5, 6, 7, 8 2.) 2, 5, 8, 11, 14, 17, 20 10th term is 10 10th term is 29 Just add 1 to the preceding term 1 is called the common difference (d) and is obtained by subtracting the 2nd term by the 1st term, 3rd term by the 2nd term and so on. Just add 3 to the preceding term Note that the sequence 1, 2, 3, 4, 5, 6, 7, 8 with the common difference 1 can be expressed as 1, 1+1, 2+1, 3 + 1, 4 + 1, 5 + 1, 6 + 1, 7 + 1, 8 + 1
- 12. 4.) 6, 12, 18, 24, 30, 36 5.) 28, 25, 23, 20, 17, 14 4.) 6, 12, 18, 5.) 28, 25, 23, d = 12 6 d = 18 12 = 6 = 6 d = 25 28 d = 23 25 = -3 = -3