All categories

3 years ago

If f(1)=3 and f(n)=-2f(n-1)+1,then f(5)=

1 answer:

5 0

F(5) = - 2f(4) + 1
f(4) = -2f(3) + 1
f(3) = -2f(2) + 1
f(2) = -2f(1) + 1
Therefore:
f(2) = -2(3) + 1 = -5
f(3) = -2(-5) + 1 = 11
f(4) = -2(11) + 1 = -21
Therefore f(5) = -2(-21) + 1 = 43

You might be interested in

bought a new car in 2011 for 25000. in 2015, joe was offered a fair price of 12000 for his car but he turned it down. build a li

Mrrafil [7]

Answer:

$y=-3,250t+25,000$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope of unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

t ----> the number of years since 2011

y --->the car's value

In this problem the year 2011 represent t=0

the year 2015, represent t=4 years (2015-2011)

we have the ordered pairs

(0,25,000) ----> represent the y-intercept

(4,12,000)

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{t2-t1}$

substitute the values

$m=\frac{12,000-25,000}{4-0}$

$m=\frac{-13,000}{4}$

$m=-\$3,250\ per\ year$ ---> is negative because is a decreasing function

we have

$b=\$25,000$ ----> value of y when the value of x is equal to zero (initial value)

substitute the given values

$y=-3,250t+25,000$

3 0

3 years ago

Read 2 more answers

Please help very easy.

adelina 88 [10]

Answer:

1/2 IN FRACTION FORM

0.5 IN DECIMAL FORM

Step-by-step explanation:

5 0

3 years ago

The two triangles formed by the flagpole and the man shown below are similar.

vagabundo [1.1K]

It’s gonna be 51 feet

5 0

3 years ago

Read 2 more answers

Yeah 82,300,000 scientific notation

IceJOKER [234]

Answer:

Dear user,

Answer to your query is provided below

82300000 in scientific notation = 8.23 × 10^7.

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

4 0

3 years ago

Read 2 more answers

A scale drawing of an automobile has a scale of 1 in.

Paul [167]

The correct question in the attached figure

we know that
the scale is 1 in (scale drawing)= (1/2) foot (actual)-----> 1/(1/2)=2 in/ft
[scale]=[scale drawing]/[actual]
then
[scale drawing]=[scale]*[actual]
therefore
for actual width of the car 8 ft
[scale drawing]=[2 in/ft]*[8 ft]=16 in

the answer is 16 in

5 0

3 years ago