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WorksheetsDUM30162(ASSG 1C - POWER SERIES)
Total questions: 10
Worksheet time: 10mins
Name
Class
Date
1.
What number is at the top of Pascal's Triangle?
a)
1
b)
0
c)
5
d)
3
2.
What is row 5 of Pascal's Triangle?
a)
1, 2, 1
b)
1, 3, 3, 1
c)
1, 4, 9, 4, 1
d)
1, 5, 10, 10, 5, 1
3.
How many terms are the in the expansion of (1+b)5
a)
5
b)
6
c)
25
d)
50
e)
3
4.
Use the binomial theorem to expand (4−2z)3
a)
64−96z+48z2+8z3
b)
64−96z+48z2−8z3
c)
64+96z+48z2+8z3
d)
64−64z+144z2−8z3
5.
Select the correct expansion of
(1 + 4x)3
a)
1 + 12x + 12x2 + 4x3
b)
1 + 12x + 48x2 + 64x3
c)
1 + 3x + 3x2 + x3
d)
1 + 4x + 16x2 + 64x3
6.
Find the 4th term in the Binomial expansion of (4x-3)5.
a)
5760
b)
-4320x2
c)
5760x3
d)
-4320
7.
Find the third term of the Maclaurin's expansion of (1 - x)14
a)
1
b)
-14x
c)
91x2
d)
-91x2
8.
In the Maclaurin's expansion of f(x) = (x-1)4 , the value of f''' (0) is
a)
-12
b)
12
c)
-24
d)
24
9.
In the series of Maclaurin's expansion, f(x) = cos x, the coefficient of x2 is
a)
-1
b)
1
c)
1/2
d)
-1/2
10.
In the series expansion of f(x) = e-x, the coefficient of x2 is
a)
1
b)
-1
c)
-1/2
d)
1/2
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