Arithmetic or Geometric?
8, 15, 22, 29,...
What is Arithmetic?
2, 4, 8, 16, 32...
r = 2
Write the explicit equation
f(1) = 2, f(n) = f(n-1) *9, n > 2
an = 2*9n-1
Write an equation for the nth term of the sequence
1, 4, 7, 10, 13, ...
f(n) = 1+(n-1)3
Coach G is tracking the team's average points per game. In the first game, they scored 14 points. Each game after, they increased their score by 3 points. If this sequence continues, what will be the team's score in their 10th game of the season?
The team's score in their 10th game will be 41 points
8, 4, 2, 1, ...
This is a Geometric sequence
Common ratio: 1/2
-20, -23, -26, -29...
d = -3?
Write the explicit equation
f(1) = 2, f(n) = 9 + f(n-1), n>2
an = 2 + (n-1)9
Write an equation for the nth term of the sequence.
3, 15, 75, 375, 1875, ...
an = 3(5)n-1
For the school's picture day, the photographer arranges students in rows. In the first row, there are 3 students. Each subsequent row has 2 more students than the row before it. How many students will be in the 10th row of this arrangement?
The 10th row will have 21 students
-8, 2, 12, 22, ...
What is Arithmetic?
18, 22, 26, 30...
d = 4
Write the recursive equation
an= 7 + (n-1)3
f(1) = 7, f(n) = f(n-1) + 3, n > 2
Write an equation for the nth term of the sequence. Then find the 7th term.
-6, 1, 8, 15, 22, ...
an = -6 + (n-1)7
a7 = 36
Where did Ms. Robles go to college?
BONUS 50 pts: What was her Major?
UC Riverside
BONUS: Mathematics (Bachelors of Science)
-4, -8, -16, -32, ...
What is Geometric?
r = 2
3, -9, 27, -81...
*positive and negative matters!!*
r = -3
Write the recursive equation
f(n) = 3(2)n-1
f(1)= 3, f(n) = f(n-1)*2, n >2
Write an equation for the nth term of the sequence.
3, 6, 12, 24, ...
Then find the 8th term
an = 3(2)n-1
a8 = 384
Lunar colonies are being established, and the population grows exponentially. If the initial colony starts with 8 people and triples every year, what will be the population of the lunar colony after 7 years?
The population will be 5,832 after 7 years
-5, -10, -15, -20, ...
What is what is arithmetic?
1000, 200, 40, 8...
r =1/5
or
r = 0.2
Write the explicit equation
f(1) = -4, f(n) = f(n-1)(-8), n > 2
f(n) = -4(-8)n-1
Write an equation for the nth term of the sequence. Then find the 10th term
128, 64, 32, 16, 8, ...
f(n)= 128(1/2)n-1
f(10)= 0.25
What are the 5 C's of Arise?
Critical Thinking
Critical Consciousness
Collaboration
Communication
Community Transformation