Sequences
What is the pattern of the following sequence and find the next three terms: 3,-9,27,-81,...
r=-3
243,-729,2187
Find the inverse of
g(x) = 3x+2
g^-1(x)=x-2/3
8, 20, 32, 44, β¦ π = 10
Find the sum
S(10) = 620
y=100(1.25)^x
a)What is the initial Value?
b)Does the function represent growth or decay?
c)What is the rate of growth or decay?
a)100
b)growth
c) 25%
What is the explicit formula for the following sequence: 1,4,7,10,...
a(n)=1+(n-1)(3)
Find the inverse of g(x) = -8x+16
g^-1(x) = 1/8x - 2
π1 = 3, π = 2, π = 12
S(12) = 168
y=5575(.65)^x
a)What is the initial Value?
b)Does the function represent growth or decay?
c)What is the rate of growth or decay?
a) 5575
b)Decay
c)35%
Write the explicit formula for the following sequence and find the next three terms: 6,1,-4,-9,...
a(n)=6+(n-1)(-5)
-14,-19,-24
g(x) = 2/3x - 5
g^-1(x) = 3/2x + 15/2
π1 = 100, π = β5, π = 8
S(9)= 660
The price of a car that was bought for $10,000 and has depreciated 10% yearly. Find the price of the car 8 years later.
y= 4304.67
Write an explicit formula and find the 12th term of the sequence: 2,4,8,16,32,...
a(n)=2(2)^n-1
a(12)=4096
h(x) = x^2 + 5
h^-1(x)= sqrt(x-5)
Find the Sum of the first 7 terms of the following sequence: 4 + 8 + 16 + 32 + β―
S(7) = 508
The equation for the price of a baseball card that was bought for 5 dollars and has appreciated 5% yearly. Find the value of the card 25 years later.
y=16.93
Find the 30th term of the sequence:
3,-3,-9,-15,...
a(30)=171
Are these two functions inverses of eachother
f(x) = -4x + 8
g(x) = -1/4x + 2
Yes they are inverses of eachother
How many terms of the arithmetic sequence 15, 12, 9,β¦must be added to get β39?
π = 13
A town of 3200, grows at a rate of 25% every year. Find the size of the city in 10 years.
y=29802.32