Sequences and Series

The third term of a geometric sequence is 96 and the fifth term is 1536.  What is the sum of the first ten terms of the sequence?

• 4,092
• 1,572,864
• 2,097,150
• 33,554,400

Tags

CCSS.HSA.SSE.B.4

• 1.1
• 1.111
• 0.222
• 1.9

• Fear
• Joy
• Surprise
• Sadness

Tags

CCSS.RL.3.6

CCSS.RL.4.3

CCSS.RL.7.6

CCSS.RL.8.6

CCSS.RL.K.9

Which statement is true about the sequence shown below?
0, 4.5, 12, 22.5, ...

• The series converges because the limit of the sequence as n approaches infinity is infinity.
• The series converges because the limit of the sequence as n approaches infinity is 30.
• The series diverges because the limit of the sequence as n approaches infinity is infinity.
• The series diverges because the limit of the sequence as n approaches infinity is 30.

• Hotline Bling
• Legend
• Know Yourself
• Energy

Which statement is true about the fifth terms of the two sequences below?
a_n = 3n² - 6
b_n = 3(b_n-1 - 6); b₁ = 10

• The fifth term of the recursive sequence exceeds the fifth term of the explicit sequence by 63.
• The fifth term of the explicit sequence exceeds the fifth term of the recursive sequence by 63.
• The fifth term of the recursive sequence exceeds the fifth term of the explicit sequence by 21.
• The fifth term of the explicit sequence exceeds the fifth term of the recursive sequence by 21.

Tags

CCSS.HSF.BF.A.2

In a geometric sequence a₁ = 12 and r = √2.  What is the approximate sum of the first 20 terms of the sequence?

• 339.4
• 8688.9
• 29624.9
• 29636.9

Tags

CCSS.HSA.SSE.B.4

Which of these films had the biggest opening weekend of 2015?

• Jurassic World
• Star Wars: The Force Awakens
• Mad Max: Fury Road
• Avengers: Age of Ultron

A bathroom floor has tiles arranged in 9 circles.  The innermost circle contains 9 tiles.  Each successive circle contains 9 more tiles than the previous circle.  How many total tiles are on the bathroom floor?

• 81
• 396
• 405
• 729

Tags

CCSS.HSF.BF.A.2

Which actress was cast as Belle in the upcoming Disney live-action 'Beauty and the Beast'?

• Jessica Alba
• Chloe Grace Moretz
• Jennifer Lawrence
• Emma Watson