Mathematics College

Find the 4th term in the sequence
with the following definition:
a1 = 2
an = (an-1)2

Find The 4th Term In The Sequencewith The Following Definition:a1 = 2an = (an-1)2

Answers

Answer 1

The sum of the first four terms of the given sequence which is aₙ = (aₙ ₋ ₁)² is gotten as; 278

How to solve arithmetic sequence?

We are given the arithmetic sequence as;

a₁ = 2

aₙ = (aₙ ₋ ₁)²

We already have the first term. Thus;

Second Term;

a₂ = (a₂ ₋ ₁)²

a₂ = 2² = 4

Third Term;

a₃ = 4²

a₃ = 16

Fourth Term;

a₄ = 16²

a₄ = 256

Thus;

Sum of first four terms is;

S₄ = 2 + 4 + 16 + 256

S₄ = 278

Read more about Arithmetic Sequence at; https://brainly.com/question/6561461

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Answer 2

Answer:

a1=2 an-(an-1)2 = 256

Step-by-step explanation:

Related Questions

At $.54 for a dozen oranges, what will 7 1/2 dozen cost?

Answers

Answer: $4.05
Explanation: you multiply 7 1/2 time .54

John's ordinary step covers 18 inches. How many steps does he take in walking 10 yards?

Answers

Answer:

John takes 20 steps in 10 yards.

Step-by-step explanation:

1 yard = 36 inches

10 yards = 36 x 10 = 360 inches

Since John's step covers 18 inches, divide 360 by 18.

360/18 = 20 steps

Here is a balanced hanger diagram. A circle has a mass of 6 grams and a square has a
mass of 4 grams. What is the mass of the triangle?

Answers

Answer:

7

Step-by-step explanation:

Problem 3.39) Suppose that 10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition. Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic

Answers

Answer:

0.2916 = 29.16% probability that one of them is pre-diabetic

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition, or they do not. Each volunteer in independent of other volunteers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition.

This means that [tex]p = 0.1[/tex]

Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic

This is P(X = 1) when n = 4. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]

0.2916 = 29.16% probability that one of them is pre-diabetic

Find the value of x.
60
3x
O A. 60
B. 10
O C. 20
D. 30

Answers

The answer is C (20) because 3 • x (which is 20) will equal to 60
I hope this helps :)

Answer:

the answer is D. 30

Step-by-step explanation:

I got it wright

Tell whether I and y are proportional

PLS HELP

Answers

Answer:

This is not proportional. In order for it to be proportional the number from dividing y/x must be the same all the way through. Example:18/2=9 20/4=5

The answers are not the same, therefore x and y are not proportional. Hope this helped.

Step-by-step explanation:

They’re not proportional!

Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?

Answers

Brian’s milk. you have to make the ratios the same: 1:6 becomes 5:30 and 2:10 becomes 6:30.

Answer:

Brian

Step-by-step explanation:

just did an ixl

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLS SHOW THE WORK!!!!!!!!

Answers

Answer:

The answer is (-4/11, -19/11)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. Hoped this helped!

Brainly, Please?

For each inequality, decide whether the solution is represented by x < 4.5 or x > 4.5.
-24 > -6(x - 0.5)

Answers

The answer is x > 4.5.

Explanation:

-24 > -6(x - 0.5)

-24 > -6x + 3

6x > 3 + 24

6x > 27

x > 27/6

x > 4.5

14. What is the value of the missing angle? (1 point)
151
х
75
75-
115
135
O 129°
O 1530
O 1690
0720°

Answers

Answer:

75+ po e photo math nyo po sa play store I download nyo po

Step-by-step explanation:

sana po makatulong po

BELE
What is the slope of the line represented by the equation y = -- 5x?
-5
Nm nm is

Answers

The slope is -5.cause the formula for slope is y=Mx+b and in this equation -5 is the slope

1. There are five questions on a multiple-choice test. Each question has four possible
answers. Savanna did not study for the test, randomly picks the answers, and submits
the exam. Find the probability that:
Savanna answers the first question correctly.
b. Savanna answers the first, second, third, fourth, and fifth questions correctly.

Answers

Answer:

a. 1/4

b. 1/4 ^ 5 = 1/1024

I need help please. Thank you! :)

Answers

Answer:

12 for the first one and twelve for the second one

Step-by-step explanation:

i think you can divide for the first one and second one if you divide 240÷20 you will get twelve and if you divide 180÷15 you will get 12

PLEASE HELP QUICKK!!

Suppose (-7, -3) is reflected across the x-axis, and then the y-axis. what will be the new coordinates?

Answers

Answer:

C (7, -3)

Step-by-step explanation:

Reflecting on x causes the x value to change signs, then again on y changes the y value's sign.

Answer:

B

Step-by-step explanation:

-7 is the x and -3 is the y so flip would be (-7,3)

find all the real zeros of the function f(x)=3x^4+11x^3-40x^2-132x+48

Answers

Answer:

2*square root 3, -2*square root 3, 1/3, -4

Step-by-step explanation:

9 is 15% of what number?

A.24

B.60

C.85

D.135​

Answers

Answer: B.60

Step-by-step explanation:

9 divided by 15%=60

find the slopes of the line

Answers

Answer:

1/4

Step-by-step explanation:

Match these together

1 similar figure

2 congruent

3 corresponding sides

4 corresponding angles

a. angles that have the same measure are _______.

b. sides in the same relative position. In similar figures they are proportional.

c. Figures with the same shape but no necessarily the same size

d. angles in the same relative position. in similar figures they are congruent

Answers

1. C
2. A
3. B
3. D

Hope this helps

At a bake sale, the soccer team had 50 packs of cookies to sell. At the end of the sale, they had 5 packs left.
What FRACTION of the cookies were sold?

Answers

Answer:

45/50= 9/10

Step-by-step explanation:

If 5 packs were left after the sale, then 50-5=45 is the number of packs sold

Then the fraction sold would be the number of packs sold divided by the total number of packs.

45 sold/50 total

What is the slope of the line shown in the graph?
A coordinate plane is shown. Points are graphed at −3 comma 2 and −1 comma −1. The points are connected by a line.

Answers

Slope= y2-y1/ x2-x1
= -1-2/-1+3
= -3/2 is the answer

Complete each calculation using the distributive property.

Answers

What are the answer options?

Mr. V has 3 3/4 lbs of chocolate chips and he puts 3/4 lb in each batch. How many batches can
he make?

Answers

Answer:

5 batches

Step-by-step explanation:

Total chocolate chips = 3 3/4 = 15/4

15/4 ÷ 3/4

15/4 × 4/3

= 5 batches

When factoring a expression, what's the easiest way to find a GCF

Answers

Answer:

Almost the same way you normally find it! :D

Step-by-step explanation:

To get the GCF multiply all common factors. You can use the greatest common factor to simplify fractions. A ratio is an expression that tells us the quotient of two numbers

PLEASE HELP!!!
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.

How much more will she be earning per hour at her new job?

Answers

Answer:

$7.29 per hour  at her new job.

Step-by-step explanation:

Answer:

$3.60

Step-by-step explanation:

Her hourly wage at her old job is 729/45 or $16.20 per hour. If her salary is increased by 10% then her wage weekly is $801.90. If her hours are reduced by 10% then she has to work 40.5 hours per week. This means you have to do  801.90/40.5 to get $19.80 per hour. So according to my math here she will make $3.60 more per hour at her new job. (Double check to make sure I'm correct)

factor as the product of 2 binomials x² -10x + 21 =

Answers

Answer:

(x - 7) (x - 3)

Step-by-step explanation:

Did u want the actual answer? Cuz if u do I could do that too, jus lemme kno

Answer:

( X - 7)  (X-3)

Five times a number decreased by 8 is less than 37. Write an algebraic inequality to represent this situation. Then solve algebraically & graph.

Answers

Answer:

5x - 8 < 37 and x < 9

Step-by-step explanation:

again, sorry if it's wrong.

5x - 8 < 37

    +8   +8

5x < 45

----   -----

5     5

x < 9

please help if your good at geometry. find a

Answers

Answer:

a = 1.8 to the nearest tenth.

Step-by-step explanation:

Remark

I don't think this case is ambiguous. It has only 1 solution, I think.

Step One

Find the top angle.

All triangles have 180 degrees.

15 + 105 + x = 180

120 + x = 180                     Subtract 120 from both sides

x = 180 - 120

x = 60

Step Two: Find a

a/sin(60) = 2/Sin(105)       Multiply both sides by sin(60)

a = 2 *  Sin(60) / sin(105)

a = 2 * .8660 / 0.9659

a = 1.793

Equation in point slope form (5,-12);m=-2/3

Answers

Answer:

y + 12 = -2/3(x - 5)

How many minutes does April jump rope in 1 day? 1 week?

Answers

Answer:

2 1/3 hours

Step-by-step explanation:

7/1 × 1/3 = 7/3 = 2 1/3 so the answer would be 7/3 or 2 1/3

In a triangle, the second angle measures twice the first. The measure of the third angle is 24 degrees more than the first. Find the measures of the three angles.

Answers

The first angle would equal 39, multiply that by 2 it would equal 78 for the second angle. 39+24=63 for the third angle. The way you know this is right is if you add them all together they equal 180.
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