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Arithmetic Sequences An Arithmetic Sequence is make by adding whatever value for individually one time. Examples: |1, 4, 7, 10, 13, 16, 19, 22, 25, | |... | This period has a disparity of 3 amid all(prenominal) play. The chemical constituteula is chance on by adding 3 to the fail turn each time. |3, 8, 13, 18, 23, 28, 33, 38, | |... | This installment has a exit of 5 between each number. The design is continued by adding 5 to the last number each time. The value added each time is called the rough-cut discrepancy What is the common difference in this example? |19, 27, 35, 43, | |... | Answer: The common difference is 8 The common difference could also be negative, resembling this: |25, 23, 21, 19, 17, 15, ...| This common difference is -2 The frame is continued by subtracting 2 each time.   Geometric Sequences A Geometric Sequence is made by multiplying by most value each time. Examples: |2, 4, 8, 16, 32, 64, 128, 256, | |... | This rank has a factor of 2 between each number. The pattern is continued by multiplying the last number by 2 each time. |3, 9, 27, 81, 243, 729, 2187, ...| This sequence has a factor of 3 between each number. The pattern is continued by multiplying the last number by 3 each time.

  Special Sequences Triangular be |1, 3, 6, 10, 15, 21, 28, 36, 45, | |... | This Triangular Number Sequ ence is generated from a pattern of dots whi! ch form a triangle. By adding another course of study of dots and enumerate all the dots we can find the next number of the sequence: [pic] Square Numbers |1, 4, 9, 16, 25, 36, 49, 64, 81, | |... | The next number is made by squaring where it is in the pattern. The second number is 2 squared (22 or 2×2) The seventh number is 7 squared (72 or 7×7) etc Cube Numbers |1, 8, 27, 64, 125, 216, 343, 512, 729, ... | The next...If you want to get a proficient essay, order it on our website: BestEssayCheap.com

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