Unit 2 quiz 3 Arithmetic sequence Forms

For the sequence 8, 11, 14, 17, 20, … , what is the recursive formula?

• a_n=a_n-1 + 8

• a_n=a_n-1 + 5

• a_n=a_n-1 + 3

• a_n=a_n-1 + 1

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Inday earned 240 pesos in the first week, then an additional $110 each week afterwards, and so on. What recursive formula for this scenario

• a₁=110

  a_n=a_n-1+240

• a₁=240

  a_n=a_n-1+110

• a₁=350

  a_n=a_n-1+110

• a₁=130

  a_n=a_n-1+110

Answer explanation

Write an equation

a_n = dn +a₀ d=110 and a₀=130 (240-110)

Find a₅

a₅ = 110(5)+130 = 680

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Write a recursive formula for the following sequence:

10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8
• a₁ =6, a_n = a_n - 1 - 2
• a₁ = 6, a_n = a_n-1 + 2
• a₁ = 6, a_n = a_n-1 - 2

Tags

CCSS.HSF.BF.A.2

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Jerry deposited $200 on an investment that will give $75 for every month that his money stays in the account. Where the amount of money he will have in his account is modeled by a_n=200+75n, Which of the following gives the correct recursive formula?

• a₁=75

  a_{n =} 200a_n-1

• a₁=200

  a_{n =} 75a_n-1

• a₁=275

  a_{n =}a_n-1+75

• a₁=75

  a_{n =} a_n-1+200

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

The sequence below shows the amount Bingo has in his piggy bank after 1, 2, 3, and 4 days(and so on).

$1.75, $2.05,$2.35,$2.65

Which function models the n^th term of this sequence, for n=1,2,3,4,...?

• f(n)=1.75+0.30n

• f(n)=1.75-0.30(n-1)

• f(n)=1.75+0.30(n-1)

• f(n)=1.75-0.30n

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

• 950

• 67

• 65

• 63

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

A well is dug 800 meters deep. The 1^st meter costs $250 and the cost per meter increases by $50 for every subsequent meter. Find the cost of digging the 750^th meter.

• $37,700

• $37,750

• $36,650

• $13,300

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Andrew puts in a down payment of $1500 and pays $250 per month in installments to buy a car, Which equation represents the total amount of pay a(n) after n months as shown by the sequence ,

1750, 2000, 2250,2500

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2