Sequences Flashcards

1
Q

What is the nth term:

17,14,11,8,5,2…

A

14-17=-3
17-(-3)=20

-3n+20

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2
Q

What is the nth term:

58,49,40,31,22,13…

A

49-58=-9
58-(-9)=67

-9n+67

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3
Q

What is the nth term:

1,4,9,16,25,36…

A

1^2=1
2^2=4
3^2=9…

n^2

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4
Q

What is the nth term:

3,9,27,81…

A

3^1=3
3^2=9
3^3=27…

3^n

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5
Q

What is the 20th term of this sequence:

24,25,26…

A

25-24=1
24-1=23
n+23
20+23=43

20th term=43

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6
Q

What is the 20th term of this sequence:

5,2,-1…

A

2-5=-3
5-(-3)=8
-3n+8
-3x20=-60
-60+8=-52

20th term=-52

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7
Q

Using this rule, what is the 6th term:

3n+71

A

3x6=18
18+71=89

6th term=89

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8
Q

Using this rule, what is the 6th term:

7n + 4

A

7x6=42
42+4=46

6th term= 46

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9
Q

Using this rule, what is the 6th term:

100n-9n +56

A

100x6=600
9x6=54
600-54=546
546+56=602

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10
Q

Using this rule, what is the 3rd term:

n^3 + n^2

A

3^3=27
3^2=9
27+9=36

3rd term= 36

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