Algebra I
Arithmetic and Geometric Sequences
I.Review
1)2)
x / 0 / 1 / 2 / 3 / 4y / 4 / 12 / 20 / 28 / 36
x / 0 / 1 / 2 / 3 / 4
y / 3 / 15 / 75 / 375 / 1875
(a) NEXT= starting at (a)NEXT= starting at
(b) (b)
Type:Type:
of functionof function
(c)(c)
(d) Find y if .(d) Find y if .
(e)Type of Sequence:(e)Type of Sequence:
II.Practice
3)4)
x / 0 / 1 / 2 / 3 / 4y / 2 / 10 / 50 / 250 / 1250
x / 0 / 1 / 2 / 3 / 4
y / 3 / 5 / 7 / 9 / 11
(a) NEXT= starting at (a)NEXT= starting at
(b) (b)
Type:Type:
of functionof function
(c)(c)
(d) Find y if .(d) Find y if .
(e)Type of Sequence:(e)Type of Sequence:
III.Translate to sequence vocabulary AJDUST FOR STARTING WITH x = 1 instead of x = 0.
1) Find the 12th term of the sequence 2, 9, 16, 23…2) Find the 8th term of the sequence 3, 6, 12, 36…
(a) NEXT= starting at (a)NEXT= starting at
(b) Type of function:(b)Type of function:
(c)(c)
(f)Type of Sequence:(f)Type of Sequence:
(e)Find when : (e)Find when :
3) 137781 is the _____ term of the sequence 7, 21,63, 1894) 200 is the _____ term of 24, 35, 46, 57
(a) NEXT= starting at (a)NEXT= starting at
(b) Type of function:(b)Type of function:
(c)(c)
(f)Type of Sequence:(f)Type of Sequence:
(e)Find when : (e)Find when :
IV.Practice and Extend
1) Find the 7th term of sequence 6250, 1250, 250, 50…2) 112 is the __ term of sequence -18, -13, -8, -3...
(a) NEXT= starting at (a)NEXT= starting at
(b) Type of function:(b)Type of function:
(c)(c)
(f)Type of Sequence:(f)Type of Sequence:
(e)Find when : (e)Find when :
3) Find the 14th term of sequence 4.1, 4.8, 5.5, 6.2…4) 36,450 is the ___ term of 50, 150, 450, 1350…
(a) NEXT= starting at (a)NEXT= starting at
(b) Type of function:(b)Type of function:
(c)(c)
(f)Type of Sequence:(f)Type of Sequence:
(e)Find when : (e)Find when :
(MUST SHOW NOW/NEXT EQUATION, Y= EQUATION, STATE “ARITHMETIC OR GEOMETRIC”, AND ANSWER THE QUESTION)
5)Find the 7th term of the sequence -4, -20, -100, -500…6) 22 is the ___ term of 2.5, 4, 5.5, 7…
7)What is the 18th term of 41, 48, 55, 62,…?8) 37.3248 is the ___ term of 15, 18, 21.6, 25.92,…
V.Applications
1)Chem deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account. How much has Chem deposited 30 weeks after his initial deposit?
2)The manager of a teen magazine wants to increased subscriptions by at least 6% each year for the next three
years to keep the company operating at a profit. Subscriptions for 2013 are 17,500.
(a)How many subscriptions must be sold in 2021?(b) How long will it take the number of
subscriptions to reach 35,000?
3)For numbers 6 and 7, use the diagram below that shows the perimeter of the pattern consisting of trapezoids.
1 trapezoid 2 trapezoids 3 trapezoids
P = 5 units P = 8 unitsP = 11 units
4 trapezoids7. What is the perimeter of the pattern containing 12 trapezoids?
P = 14 units
4)The Coral Gables Actors’ Playhouse has 76 seats in the last row of the orchestra section of the theater, 68 seats in the next row, 60 seats in the next row, and so on. There are 7 rows of seats in the section. On opening night, 368 tickets were sold for the orchestra section. How many seats are in the first row?
5)To bisect an angle means to cut it into two angles with the same measure. Suppose a 160° angle is bisected. Then one of the new angles is bisected. This is repeated twice. Find the measure of the angle in this pattern that has been bisected 9 times.
VI.Homework
1)A sequence is one where each term is obtained by multiplying the previous term by a common number.
2)A sequence is one where each term is obtained by adding a common number to the previous term.
3)Find the 11th term of sequence -800, 400, -200, 100,…4) 128 is the ____ term of -12, -8, -4, 0, 4…..
(a) NEXT= starting at (a)NEXT= starting at
(b) Type of function:(b)Type of function:
(c)(c)
(f)Type of Sequence:(f)Type of Sequence:
(e)Find when : (e)Find when :
(MUST SHOW NOW/NEXT EQUATION, Y= EQUATION, STATE “ARITHMETIC OR GEOMETRIC”, AND ANSWER THE QUESTION)
5)Find the 17th term of the sequence -4, 5, 14, 23…6) 1701 is the ___ term of 7, 21, 63, 189....
7)1,062,882 is the ___ term of 2, 6, 18, 54,….8)What is the seventh term of 24000, 6000, 1500…
9)A rectangle is 6 inches by 8 inches. The rectangle is cut in half, and one half is discarded. The remaining rectangle is cut in half, and one half is discarded. Find the area of the 9th rectangle in this process
10)Cans collected in a recycling project are displayed against a wall and are arranged in a pyramid with 2 cans in the top row, 4 cans in the second row, 6 cans in the third row, and so on. How many rows are in the pyramid if the last row contains 1,190 cans?
11)A lake was closed because of an accidental pesticide spill. The concentration of the pesticide after the spill was 848 parts per million. Each day the water is tested, and the amount of pesticide is found to be about 75% of what was there the day before.
a) List the level of pesticides in the water after seven days.
b) If a safe level of pesticides is considered to be 12 parts per million or less, when will the lake be c considered safe?
12)Tamika is stacking boxes of tissue for a store display. Each row of tissues has 2 fewer boxes than the row below. The first row has 23 boxes of tissues. How many boxes will there be in the tenth row?