MSA 10 - Sequences and Series

The first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If is the number of people invited to the fund-raiser n years after Eleanor began organizing the event, which of the following statements best describes the function f ?

• The function f is a decreasing linear function.

• The function f is an increasing linear function.

• The function f is a decreasing exponential function.

• The function f is an increasing exponential function.

In 1789, Benjamin Franklin gave an amount of money to Boston, Massachusetts. The money was to be invested for 100 years in a trust fund. If the value of the trust fund doubled every n years, which of the following graphs best models the value of the trust fund over time for the 100 years?

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• 
• 
• 

A rubber ball bounces upward one-half the height that it falls each time it hits the ground. If the ball was originally dropped from a distance of 20.0 feet above the ground, what was its maximum height above the ground, in feet, between the third and fourth time it hit the ground?

• 5

• 2.5

• 1.25

• 0.625

• 7

• 6

• 5.5

• 5

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

• 59,050
• -59,048
• -78,732
• 118,096

Tags

CCSS.HSA.SSE.B.4

Find the rule for this geometric sequence:
r = 3            a₃ = -12  

• a_n = (-4/3) (3)^n-1
• a_n = -4 (3)^n-1
• a_n = (-3/4) (3) ^n-1

Tags

CCSS.HSF.BF.A.2

• ⁵/₂
• ⁸¹⁹/₅₁₂
• ⁸/₅
• ²¹/₁₆

Tags

CCSS.HSA.SSE.B.4

Which recursive formula best describes the sequence
2, -6, 18, - 54... 

• a_n=a_n-1* -4, a₁ = 2
• a_n=a_n-1* - 8, a₁ =2
• a_n=a_n-1* 2, a₁ = -3
• a_n=a_n-1* -3, a₁ =2

Tags

CCSS.HSF.IF.A.3

What is the 50th term of the sequence
13, 7, 1, . . . ?

• -294
• -281
• -275
• -213

Tags

CCSS.HSF.BF.A.2

• 36
• 85