Arithmetic and Geometric Sequences
What is the arithmetic equation for this sequence?
4, 0, –4, –8, –12, ...
d=-4
What is the rate of change of theses numbers?
X:-2,2,1,5,6
Y:10,8,12,10,14
1
Answer the equation
8(x – 4) + 2.6 = –7
x=2.8
Find the y-intercept and slope
y = - x + 4
y-intercept= 1
slope= 4
Find the next 3 terms
109, 209, 309, 409...
509, 609, 709
What is the arithmetic equation for this sequence?
–8, –15, –22, –29, –36, ...
d=-7
What is the rate of change of numbers?
X:-9,-63,-7,-49,-4
Y:-28,-3,-21,4,28
7
Answer the equation
3(x - 7) + 8(- x - 8) + 15 = 0
x=-14
Find the y-intercept and slope
y = - 3x - 3
y-intercept= -3
slope= -3
Find the next 3 terms
4, 16, 36, 64, 100...
144, 196, 256
What is the geometric equation for this sequence?
9.2, –18.4, 36.8, –73.6, 147.2, ...
r=-2
What is the rate of change of theses numbers?
X:-7,-34,-1,2,4
Y:32,5,38,10,68
6
Answer the equation
½(12x + 3) -3 = 3(7 - 3x)
x=1.5
Find the y-intercept and slope
y = 2x - 4
y-intercept= 2
slope= -4
Find the next 3 terms
−3, −15, −75, −375...
−243, 729, −2187
What is the geometric equation for this sequence? –
-2, -14, -98, -686, -4802, ...
r=7
What is the rate of change of these numbers?
X:-10,-15,-2,-7,4
Y:-1,7,2,9,4
1
Answer the equation
8(x - 4) + 3(8x - 7) + 29 = 0
x=.75 or 3/4
Find the y-intercept and slope
-x + 4y = -16
y-intercept= 4
slope= -4
Find the next 3 terms
1, −5, 25, −125...
625, -3125, 15,625
What is the geometric equation for this sequence?
3.5, 10.5, 31.5, 94.5, 283.5, ...
r=3
What is the rate of change of theses numbers?
X:-7,-98,-3,-42,-2
Y:-28,3,42,5,70
14
Answer the equation
8.3(a – (–7.7)) = –1
x=7.82
Find the y-intercept and slope
-7x + 2y = 8
y-intercept= 3.5
slope= 4
Find the next 3 terms
−2, −4, −8, −16...
-32, -64, -128