Binomial Expansion Quiz

If n is a positive integer, what happens to the binomial expansion?

• B) It becomes infinite.

• C) It converges for all x.

• D) It diverges.

Fill in the blank: If n is a negative integer or a fraction, the binomial expansion does not terminate and has ______ terms.

• A) finite

• B) infinite

• C) zero

• D) undefined

• 1

• 2

• 0

• 1/2

Amelia is stacking blocks in a pattern. She starts with 1 block, then adds a layer of x blocks, then another layer of x^2 blocks, and so on. How many blocks will be in the next layer?

• 0.99995

• 0.9999

• 1.00005

• 1.0001

• 0.99

• 1.01

• 1.00

• 0.98

• |x| < 2

• |x| > 2

• x = 2

• x = -2

• 1

• x

• 1

• 2

• 3

• 4