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The numbers increase by 4, 6, and 8. The next
number will increase by 10. So, it will be 30.
12.
Each figure adds a triangle and changes the
orientation of the triangles. The next figure will
have five triangles with the same orientation as
the three triangles in the second figure.
13.
The numbers increase by 1, 2, 4, and 8, which are
the first four numbers in the sequence. The next
number will increase by the fifth number in the
sequence, or 16. So, the next number will be
16
1
16 or 32.
14.
The numbers increase by 2, 3, 4, and 5. The next
number will increase by 6. So, it will be 18
1
6 or
24.
15.
The numbers increase by
}
2
3
}
. The next number will
be 3
1
}
2
3
}
or
}
1
3
1
}
.
16.
The numbers are multiplied by
}
1
2
}
.The next
number will be
}
1
1
6
}
3
}
1
2
}
or
}
3
1
2
}
.
17.
The numbers are multiplied by
2
3. The next
number will be
2
54
3
(
2
3) or 162.
18.
The numbers are multiplied by
2
5. The next
number will be 625
3
(
2
5) or
2
3125.
19.
Each arrangement of blocks is formed by adding a
level of blocks to the bottom. The numbers of
blocks in the sequence are 1, 5, and 14.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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