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Ulleksa [173]
2 years ago
15

If a1 = 7 and an = An-1 – 3 then find the value of a4.

Mathematics
1 answer:
V125BC [204]2 years ago
8 0

Answer:

-2

Step-by-step explanation:

If a1 = 7 and an = An-1 – 3

a4 = a3 - 3

Get a2;

a2 = a1 - 3

a2 = 7 - 3

a2 = 4

Get a3;

a3 = a2 - 3

a3 = 4 - 3

a3 = 1

GEt the required a4

a4 = a3 - 3

a4 = 1 - 3

a4  = -2

Hence the value of a4 is -2

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What is the equation for this line
pogonyaev

The equation of the line is y=\frac{-1}{5} x-\frac{21}{5}.

Solution:

The points on the line are (–6, –3) and (4, –5).

 x_{1}=-6, y_{1}=-3, x_{2}=4, y_{2}=-5

Slope of the line:

 $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

 $m=\frac{-5-(-3)}{4-(-6)}

 $m=\frac{-5+3}{4+6}

$m=\frac{-2}{10}

$m=\frac{-1}{5}

Point-slope formula:

 y-y_{1}=m\left(x-x_{1}\right)

 $y-(-3)=\frac{-1}{5}(x-(-6))

 $y+3=\frac{-1}{5}(x+6)

 $y+3=\frac{-1}{5} x-\frac{6}{5}

Subtract 3 from both sides of the equation.

$y=\frac{-1}{5} x-\frac{21}{5}

The equation of the line is  y=\frac{-1}{5} x-\frac{21}{5}.

6 0
3 years ago
The area of a rectangle is 600 m² the width is 30 m what is the length
Angelina_Jolie [31]

Answer:

20m

Step-by-step explanation:

600 divided by 30 = 20

7 0
2 years ago
Ariel wants to find out the most popular theme for spirit week at school. She cannot decide between two methods.
fredd [130]
Option 2 as you get a wider range of student
8 0
3 years ago
Read 2 more answers
A certain book had an original rating of 27 out of 30 points on a survey chart. Each month, the rating fell by 3 points. Express
Natali [406]

Answer:

D.) f(m)=27−3m

Step-by-step explanation:

Given that:

Original rating = 27

Total possible rating points = 30

Drop in rating point per month = 3

m = number of months since release :

Hence,

F(m) = original rating - drop in rating per month * number of months since release

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7 0
2 years ago
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Answer:

Step-by-step explanation:

d + q = 94.....d = 94 - q

0.10d + 0.25q = 19.30

0.10(94 - q) + 0.25q = 19.30

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-0.10q + 0.25q = 19.30 - 9.40

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q = 9.90/0.15

q = 66 <===== there are 66 quarters

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d + 66 = 94

d = 94 - 66

d = 28 <==== there are 28 dimes

3 0
3 years ago
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