The first two terms of a sequence are a1 =4 and a2= -2. Let a3 be the third term when the sequence is arithmetic and let b3 be the third term when the sequence is geometric. Find a3+b3

Answers

Answer 1

Answer:

a3 + b3 = -7

Step-by-step explanation:

When the sequence is A.P

a1 =4 and a2= -2

Common difference,d = a2 - a1

= -2 - 4

d = -6

a3 = third term

a3 = a1 + 2d

= 4 + 2(-6)

= 4 - 12

= -8

a3 = -8

When the sequence is geometric

a1 =4 and a2= -2

Common ratio, r = a2/a1

= -2/4

r = -1/2

Or

r = -0.5

b3 = third term

b3 = ar²

= 4 * (-1/2)²

= 4 * 1/4

= 4/4

= 1

b3 = 1

a3 + b3 = -8 + 1

= -7

a3 + b3 = -7


Related Questions

i have 8 mins to turn this in, what’s the answer?? thanks :)

Answers

Answer:

i think b???

Step-by-step explanation:

Answer:x=10 y= 10 square root 2

Step-by-step explanation:

Joelle would like to tip her hairdresser 20%. If her haircut costs $38.00, which expression should she use to find the tip amount?
(0.02) (38)
(0.2) (38)
(1.2) (38)
(20) (38)

Answers

Answer:

(0.2)(38)

Step-by-step explanation:

To find a percent, you multiply the number (cost) by the decimal of the percent

20% as a decimal is .2

Answer:

0.2 48

Step-by-step explanation:

20% change into decimal form is 0.2 you move decimal two places left.

5. Segment A' B' is parallel to segment AB.
a. What is the length of segment A' A?
b. What is the length of segment B' B?

Answers

Answer:

A=(−1,3),B=(4,−9)

We know that the distance between two points

d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Therefore,

d=

(4−(−1))

2

+(−9−3)

2

d=

(4+1)

2

+(−12)

2

d=

(5)

2

+(−12)

2

d=

25+144

d=

169

d=13 units

The side lengths of A'A and B'B are 18 and 9 respectively.

What are similar triangles?

When the respective sides are proportional and the corresponding angles are congruent, two triangles are said to be similar.

Given that, segment A'B' is parallel to segment AB.

Let A'A =x and B'B = y.

Since the segments are parallel the triangles ΔA'B'C and ΔABC are similar.

As per the property of similar triangles, it follows:

12/8 = (12 + x)/20

12 + x = (12/8)20

x = 18

And,

6/8 = (6+y)/20

6 + y = (6/8)20

y = 9

Hence, the side lengths of A'A and B'B are 18 and 9 respectively.

Learn more about similar triangles:
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The polygons below are similar... please help I will mark you brainliest thank youuuu

Answers

Answer:

y=27 and x=9

Step-by-step explanation:

the ratio is 4 to 3

AAAAAA I AM FREAKING OUT I NEED HELP ASAP!!!!

Fifteen unit squares are arranged in a 5 by 3 rectangle as shown. What percent of the largest rectangle is shaded gray?


PLS PLS TELL WHY THE ANSWER IS TRUE!!

Answers

Answer:

40%

Step-by-step explanation:

There's a total of 15 squares.

So the percentage that is gray would be [tex]\frac{6-gray-squares}{15-total-squares}[/tex] which simplifies to [tex]\frac{2}{5}[/tex] in fraction form or 40%

4. Find f(2) if f(x) = 2x + 1.

Answers

Answer:

X= .5 (decimal form)

X= 1/2 (Exact form)

Answer: 5

Work Shown:

f(x) = 2x+1

f(2) = 2*2+1 ... x has been replaced with 2

f(2) = 4+1

f(2) = 5

The input is x = 2. The output is y = 5.

Someone please answer correctly

Answers

Answer:

13

Step-by-step explanation:

It is a parallelogram so the opposite angles are the same.

All angles sum to 360 degrees.

This means that the adjacent angles sum to 180 degrees.

4a + 11 + 9a = 180 = 13a + 11

13a = 169

a=13

1. Which of the following statements is true?
A A relation includes both domain and range.
B Dependent variables directly affect the value of the independent variable.
C The input is the range and the output is the domain.
D The vertical line test is a test to see if graph is linear.

Answers

The answer is A) A relation includes both domain and range

I need a hard 8th-grade math question (ON LEVEL) please don't give me the answer also tell me how I can use it in real life

Answers

The lengths of two sides of a triangle are 20 mm and 13 mm. Which of these lengths cannot represent the length of the third side.
35 mm
10 cm
20 mm
45 mm

Solve for xxx. -30=5(x+1)

Answers

EQUATIONExercise:  -30 = 5(x + 1)

First, apply the distributive property:

-30 = 5(x + 1)

-30 = 5x + 5

Substract 5 from both sides:

-30 - 5 = 5x + 5 - 5

-35 = 5x

Divide both sides by 5:

[tex]\mathsf{\dfrac{-35}{5} = \dfrac{5x}{5}}[/tex]

[tex]\large{\boxed{\mathsf{-7 = x}}}[/tex]

‎      

Let's check the answer:

-30 = 5(x + 1)

-30 = 5(-7 + 1)

-30 = 5(-6)

-30 = -30

The answer is correct.

‎      

Answer. The value of x = -7.

What is the answer to 2/5 ÷ 2/3 in simplest form

Answers

x=answer..

2/5÷2/3=

convert last fraction value around:

2/3=3/2

convert ÷ into ×:

2/5×3/2

multiply up to down:

2x3=6

5x2=10

6/10

Simpifly the fraction term:

6/10=3/5

x=3/5

Find the mean,median,and mode of the data

Answers

Answer:

B) mean: 79.7 median: 81 mode: 84

50 POINTS!
What is the value of x in the equation 4(–5 + x) = –4?

A.
–6

B.
–4

C.
4

D.
6

Answers

Answer: C 4

Step-by-step explanation:

the answer is C, x=4

PLEASE HELP !!

find the length of arc AB. round your answer to the nearest hundredth

Answers

Answer:

The answer will be MAB= 19.53m

Step-by-step explanation:

hope it helps have a great day ^_^

A line passes through point (-8,-6) and has a slope of
5/2
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.

Answers

Answer:

5x - 2y= -28

Step-by-step explanation:

Since the y= mx + b format would be: y= 5/2x + 14

Standard form is: 5x - 2y= -28

umm hi I have a question Susan brought a dozen cartons for $ 18.50 she will also have to a sails tax of 6% what is the total cost of the carnations​

Answers

Answer:

A=$1.11

B=$19.61

Step-by-step explanation:

Convert 6% to decimal so move the decimal 2 places to the left so you get 0.06. You multiply 0.06 by 18.50 and you get 1.11.(Step A)

Then you add 18.50 to 1.11 to get $19.61.

Hope this helps! <3

Answer:

106/100x18.50=1961

Step-by-step explanation:

brainleist

find the value of the missing variables which are M, A, and X


I really need help on this, please help.​

Answers

Answer:

m=5 , a=3 x= 3 you get that by looking at the other numbers that they provided.

help? thank you have a great day

Answers

Answer:

12 square units

50 square feet

77 square meters.

Step-by-step explanation:

cut of the part that's sticking out and put it on the other side to get a rectangle.

Change .451 to a percent

Answers

Answer:

45.1 % is your answer. Hope this helps you have a great day.

Brainly please.

What is the slope of this graph ?​

Answers

Answer:

m=1= slope

Step-by-step explanation:

here u do rise/ run

and the dots there are helping you to make it

you need to join them by doing rise over run

you go 3 to the right from the dot at the bottom and 3 up

which is 3/3 that equals to 1

if this is not right, please tell me

if it right then your welcome

the graph of a fraction f is shown below​

Answers

Answer:

f(3) = -2

One value of x for which f(x) = 2 is f( 1 )

hope this helps :)

If ∆ABC ≅ ∆PQR ,then side AB corresponds to -------------------

Answers

By direct correspondence AB = PQ
side AB corresponds to PQ

The cost of 8 identical books cost £36 what is the cost of 12 of these books?

Answers

fifty four pounds———-

What percent is represented by the shaded area?

Answers

Answer:

30%

Step-by-step explanation:

There are 6 shaded squares out of 20 squares. That is the same as 30 out of 100. 30/100=30%

Answer: 30%

Step-by-step explanation:

5*4 is 20.

So that your area.

6/20 converted to percentage: 30%

What is the greatest common factor of 72 and 86?
A 2
B)
4
© 7
D 12

Answers

it's 7

Hope it helps

Have a good day

What is 5 1/2 +2 1/7

Answers

Answer:

Step-by-step explanation:

5[tex]\frac{1}{2}[/tex]+2[tex]\frac{1}{7}[/tex]

5[tex]\frac{7}{14}[/tex]+2[tex]\frac{2}{14}[/tex]

7 9/14  or 7[tex]\frac{9}{14}[/tex]

Answer:

[tex] \frac{135}{14} [/tex]

F is directly proportional to a . If F = 24 when a = 8 find, F when a = 6

Answers

Answer:

18

Step-by-step explanation:

24=8×3

If F=24 when A=8 then F is directly proportional to A•3

this is the question ^^ help

Answers

Its 4v^2. I took the same thing and that’s what I had

One side of a rectangle is 3 yards longer than twice the length of another side. If the perimeter is 27 yards, what is the length of the longer side

Answers

Answer:

10 yards

Step-by-step explanation:

;)

The required length of the longer side is 10 yards.

What is the perimeter?

Perimeter, is the measure of the figure on its circumference.

Here,
Let's assume that the length of one side of the rectangle is x yards. According to the problem, the other side of the rectangle is 3 yards longer than twice the length of this side. So, the length of the other side can be expressed as 2x + 3 yards.

The perimeter of a rectangle is the sum of the lengths of all its sides. So, we can write an equation to represent the problem:

Perimeter = 2 × length + 2 × width

Substituting the expressions for length and width, we get:

27 = 2(x) + 2(2x + 3)

27 = 2x + 4x + 6

27 = 6x + 6

21 = 6x

x = 3.5

So, the length of one side of the rectangle is 3.5 yards. The other side of the rectangle is 2(3.5) + 3 = 10 yards.

Therefore, the length of the longer side is 10 yards.

Learn more about perimeter here:

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In the graph y = x

When x = 0

y =

Answers

Answer:

x=0, y= 0

Step-by-step explanation:

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