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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 a5b7.
A)TRUE
B)FALSE
3

For all values of x, (x + 2)5 = x5 + 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 24.
A)TRUE
B)FALSE
7

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A)TRUE
B)FALSE
8

The sum of the coefficients in the expansion of (a + b)n is 2n.
A)TRUE
B)FALSE
9

0! = 1!
A)TRUE
B)FALSE
10

7!/(5!2!) = 21
A)TRUE
B)FALSE