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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Sequences and Series
Binomial Expansions
Warm-Ups
1
There are 12 terms in the expansion of (a + b)
12
.
A)
TRUE
B)
FALSE
2
The seventh term of (a + b)
12
is a multiple of a
5
b
7
.
A)
TRUE
B)
FALSE
3
For all values of x, (x + 2)
5
= x
5
+ 32.
A)
TRUE
B)
FALSE
4
In the expansion of (x - 5)
8
the signs of the terms alternate.
A)
TRUE
B)
FALSE
5
The eighth line of Pascal’s triangle is
1 8 28 56 70 56 28 8 1.
A)
TRUE
B)
FALSE
6
The sum of the coefficients in the expansion of (a + b)
4
is 2
4
.
A)
TRUE
B)
FALSE
7
(1.0K)
A)
TRUE
B)
FALSE
8
The sum of the coefficients in the expansion of (a + b)
n
is 2
n
.
A)
TRUE
B)
FALSE
9
0! = 1!
A)
TRUE
B)
FALSE
10
7!/(5!2!) = 21
A)
TRUE
B)
FALSE
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