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### 14 Cards in this Set

- Front
- Back

What is the 10th term in the sequence?
2, 4, 6, 8, 10, 12... |
2, 4, 6, 8, 10, 12...
Answer: 20 The pattern is counting by two's |

What is the 6th term?
-2, 4, -8, 16, -32... |
-2, 4, -8, 16, -32...
Answer: 64 The pattern is multiplying by -2. Any time the numbers change signs like that, it means you are multiplying or dividing by a negative. |

Find the next term... HINT, it's a cubic pattern. You won't get this help all the time :-)
2, 9, 28, 65...? |
The pattern is cubic, so you take the first term and cube it and then you add 1. So it would be 1 cubed + 1 = 2, then the 2nd term is 2 cubed + 1 = 9... 3 cubed + 1 = 28...
So the next term is 5 cubed + 1 = 126 Answer 126 |

What is the 7th term?
1, 3, 7, 13, 21... |
The pattern is that you are adding 2 more each time. So you add 2, then you add 4, then you add 6 etc.
1, 3, 7, 13, 21, 31, 43 Answer: 43 |

What is the next term in the sequence?
-2, 5, 24, 61... |
The pattern is a cubic pattern minusing 3. 1 cubed - 3 = -2... 2 cubed - 3 = 5... 3 cubed - 3 = 24... 4 cubed - 3 = 61
SO 5 cubed - 3 = 122 ANSWER 122 |

What is the next term in the sequence?
729, 243, 81, 27, 9... |
The pattern is dividing by 3... Since the numbers go down quickly you should be thinking divide. You are dividing each term by 3 to get the next term.
ANSWER: 3 |

What is the next term in the sequence?
2, -8, 32, -128, 512... |
Since the signs are changing, it's multiplying by a negative. The pattern is multiplying by -4
2, -8, 32, -128, 512... 2 x -4 = -8 -8 x -4 = 32 32 x -4 = -128 -128 x 4 = 512 Answer: 512 x -4 = -2048 |

What is the 8th term in the sequence?
19, 20, 22, 25, 29, 34 |
The pattern is counting by one more each term. So you add 1, then add 2, then add 3 etc.
34 + 6 = 40 40 + 7 = 47 Answer: 47 |

What is the 8th term in the patter?
91, 89, 85, 79, 71... |
The pattern is that you are subtracting 2 more each time.
91, 89, 85, 79, 71... 91 - 2 = 89 89 - 4 = 85 85 - 6 = 79 79 - 8 = 71 71 - 10 = 61 61 - 12 = 49 49 - 14 = 35 Answer: 35 |

What is the 6th term in the following pattern?
3 - (x + 2), 5 - (x + 2), 7 - (x + 2), 9 - (x + 2) |
The beginning number is adding 2 each time, and the - (x + 2) stays the same.
3 - (x + 2), 5 - (x + 2), 7 - (x + 2), 9 - (x + 2) So the 6th term would be: 5th term: 11 - (x + 2) 6th term: 13 - (x + 2) |

What is the next term to the following patter?
8, 100, 10, 90, 12, 80, 14, 70... |
The Pattern is an alternating patter (two patterns going on at once). The first pattern is adding by 2 (8, 10, 12...). The second pattern is subtracting by 10 (100, 90, 80, 70...).
8, 100, 10, 90, 12, 80, 14, 70... So the next term is 16 |

What is the 8th term in the pattern?
46, 55, 64, 73, 82, 91... |
The Pattern: You are adding 9 each time.
5th Term: 82 + 9 = 91 6th Term: 91 + 9 = 100 7th Term: 100 + 9 = 109 8th Term: 109 + 9 = 118 |

What is the next term in the pattern?
90.8, 92, 93.2. 94.4. 95.6... |
The Pattern: You are adding 1.2 each time. If you don't know that just subtract two numbers that are next to each other (92 - 90.8 = 1.2 etc)
The answer is 96.8 |

What is the next term in the pattern?
5, -15, 45, -135... |
The Pattern: Since the signs are alternating, you know it is either multiplying or dividing by a negative. Since the numbers are increasing, it has to be multiplying by a negative.
Pattern: multiply by -3 each time. -135 x -3 = 405 |