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14 Cards in this Set

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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