Sequences, Series, Binomial Theorem

How many terms are the in the expansion of (1+b)⁵

• 5

• 6

• 25

• 50

• 3

Tags

CCSS.HSA.APR.C.5

Find the coefficient of the x³ term in (x-3)¹⁰

• 3240x³
• 3240
• 262440x³
• 262440

Tags

CCSS.HSA.APR.C.5

Expand (d-5)⁵

• d⁵ - 25 d⁴ + 250 d³ - 1250 d² + 3125 d - 3125

• d⁵ + 25 d⁴ + 250 d³ + 1250 d² + 3125 d + 3125

• d⁴ - 20d³ + 150d² - 750d + 3125

• d⁴ + 20d³ + 150d² + 750d + 3125

Tags

CCSS.HSA.APR.C.5

Use Pascal's Triangle to expand the expression.

(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625

• 16x⁴ + 160x³ +600x² +1000x + 625

• 16x⁴ + 1000x³ + 600x² + 160x +625

Tags

CCSS.HSA.APR.C.5

How many rows in The Pascal's triangle?

• 7

• 8

• 100

• Infinite

Tags

CCSS.HSA.APR.C.5

• A
• B
• C
• D

Tags

CCSS.HSA.APR.C.5

How many terms are in this sequence?

{5, -2, -9, -16, ......, -387}

What is the 14th term of the geometric sequence?

3, 9, 27, 81, ...

• 14,348,907

• 4,782,969

• 1,594,323

• 45

Identify the common difference.
-21, -18, -15, -12, ...

• 4
• 3
• -4
• -3