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Arithmetic Sequence
Arithmetic Series
Word Problems
Sigma Notation
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100
What is the formula for Arithmetic Sequence
an=a1+(n-1)d
100
What is the formula for Arithmetic Series
Sn=n/n(a1+a2)
100
You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. What is the total distance the object will fall in 6 seconds?
A6=16+(6-1)32=176 6th term is 176 S6=6/2(16+176) S6=576 feet
100
What does ∑ mean
Sigma notation
100
Who has the most style in the class?
Koa's answer- John E Kris' answer- "Perry, have you seen his pocketwatch?" "and myself" Mathew's answer- Michael
200
Whats the common difference in 3, 11, 19, 27, 35,... Whats the 6th term
8 43
200
Determine the number of terms n in each arithmetic series. a1 =19, an =96, Sn =690
12
200
A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern. If the theater has 20 rows of seats, how many seats are in the theater?
n = 20, a1 = 60, d = 8 and we need a20 for the sum. a20=60+(20-1)8=212 S20=20/2(60+212)=2720 There are 2720 seats.
200
15 Σ 4m m=1
480
200
What's Mathew's favorite boy band?
Kris and the Totahs
300
Find the next term in the sequence 7,15,23,31, ?
39
300
Determine the number of terms n in each arithmetic series. a1 =42, an =146, n=14
1316
300
A brick patio has the approximate shape of a trapezoid. The patio has 18 rows of bricks. The first row has 14 bricks and the 18th row has 31 bricks. How many bricks are in the patio
A1=14, a18= 31 S18=18/2(14+31)= 405 Bricks doe
300
10 Σ (7m−2) m=1
365
300
Who in this class are you most likely to fall in love with at first sight?
Koa's answer- Michael R. Kris' answer- "Myself" Mathew's answer- totah
400
Find a1-5 If an=10-2n
a1=10-2(1) =8 a2=10-2(2) =6 a3=10-2(3) =4 a4=10-2(4) =2 a5=10-2(5) =0
400
Determine the number of terms n in each arithmetic series. 10+12+14+16..., n=11
220
400
An auditorium has 20 rows of seats. There are 20 seats in the first row, 21 seats in the second row, 22 seats in the third row. How many seats are there in all 20 Rows
A20=20+(19)1 A20=39 S20=20/2(20+39)=590 Seats
400
35 Σ(5k−2) k=1
3080
400
How many d's does Koa Todd spell his last name with?
"4"-Koa actual answer 2
500
Determine the number of terms n in each arithmetic series. 20+30+40+50..., n=15
1350
500
A hardware store makes a profit of $30,000 during its first year. The store owner sets a goal of increasing profits by $5,000 each year for 4 years. Assuming that this goal is met, find the total profit during the first 5 years of business
A1=30,000 d=5,000 A2=30,000+5,000= 35,000 A5=5/2(30,000+50,000)=$200,000
500
35 Σ (3i−13) i=1
1435
500
What qualities are Kris most satisfied with that he owns If you can get 1 of the 3 right you get an extra 200 points
"I'm cool, Good with the ladies, and a Total Savage"-Kris