In comparing the two written forms of a sequence, which is easier to find a50, the explicit form or the recursive form?

Answers

Answer 1

Answer:

Explicit

Step-by-step explanation:

Given

[tex]Term: a_{50[/tex]

Required

Explicit or Recursive; which is easier

The explicit form is easier.

Take for instance, the explicit form of the sequence is:

[tex]a_n = 2n + 1[/tex]

And the recursive form is:

[tex]a_n = a_{n-1} + 2[/tex]

To find [tex]a_{50}[/tex] in [tex]a_n = 2n + 1[/tex]

You simply substitute 50 for n and then solve for [tex]a_n[/tex]

Which gives:

[tex]a_{50} = 2*50 + 1 = 101[/tex]

The case is different in: [tex]a_n = a_{n-1} + 2[/tex]

First, you substitute 50 for n

[tex]a_{50} = a_{50-1} + 2[/tex]

[tex]a_{50} = a_{49} + 2[/tex]

Next, you need to calculate a49.

This action continues until you get to a1

Then you evaluate the corresponding expressions from a1 to a49 before you get a50.

Hence, the explicit form is easier.


Related Questions

I need help, I did 1-2b, but i do not mind someone answering it either way so I can double check, but I am mainly stuck with 2c and if someone can tell me the answer and as to why, it would mean a lot and you can get brainlest if it is the right answer :) ​

Answers

Answer:

i belive the answer is c because they always try and trick you making you choose the wrong one and all the evidence cites that it could be c!!

Step-by-step explanation:

I need help with the picture. please

Answers

you have to use the order of operations (PEMDAS)

x=3

7+5(3)

MULTIPLACTION FIRST

7+15= 22

so the first was wrong because she added before multiplying

x= 4/5

7+5(4/5)

MULTIPLICATION FIRST

7+4= 11

the second was wrong because she added before multiplying again

QUESTION: If Z is the incenter of (triangle shape)TUV, find m(triangle shape)ZTV .

x =

m(triangle shape)ZTV = _ degrees

Answers

Solution :

It is given that Z is the incenter

So, we get from the figure

[tex]$5x +1= 8x -14$[/tex]

⇒ [tex]$-3x = -15$[/tex]

⇒ x = 5

So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]

We have to find ∠ ZTU.

In Δ UTV,

∠ TUV + ∠ UTV + ∠ TVU = 180°

⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°

⇒ ∠ UTV  = 180° - 52° - 42°

                = 86°

So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]

                 [tex]$ = \frac{1}{2} \times 86^\circ$[/tex]

                 [tex]$=43^\circ$[/tex]

Therefore, m ∠ ZTU = 43°

9^6 * 9^3 =


Give the answer in exponent form

Answers

Step-by-step explanation:

1,983593e11

Answer:

9^18

Step-by-step explanation:

Since the bases are the same digit, all you have to do is multiply the exponents to get your answer

if Seth used 4 ounces of black beans, how many beans did he use altogether?​

Answers

Answer: 4 Ounces.

Step-by-step Explanation: I don't know the full context of the problem, but if Seth used 4 ounces, that means that he used 4 ounces all together.

Rewrite the equation 2x + 3y = 6 in slope-intercept form.
3y = -2x + 6
y= -2x+6
y= - 2/3 x+2
y = 2x+6

Answers

2x+3y=6
3y=6-2x
y=2-2/3x
y=-2/3x+2
the 3rd one is correct

Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?


Write multiplication and division equations to model and solve the problem. Use m for the unknown

Answers

Step-by-step explanation:

4m =16

divide both sides by 4

m = 4

he has 4 model trains

Do you know anything about y=mx+b​

Answers

Answer:

yes

Step-by-step explanation:

your m is your slope,your b is the y-intercept, and your y is what you are solving for.

Answer:

Y=mx+b is an equation for a linear equation

M is the slope of the line and B is the y-intercept

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Every straight line can be represented by an equation: y = mx + b.

Hope this helps :))

Marie is saving $75 each week so she can buy a new laptop which costs $1200. She has already saved $125. Find the minimum number of weeks she will have to save in order to be able to make this purchase.

Answers

Answer:

Step-by-step explanation:

[tex]125+75w\ge 1200\\ \\ 75w\ge 1075\\ \\ w\ge 14.33\\ \\ \text{So she must save for at least 15 weeks.}[/tex]

Evaluate the expression 30 + 10 -10

Answers

The answer is 30 the +10 and -10 cancel each other out

Can someone please help me with this? Right answer gets brainliest!!

Answers

Answer:

Part 1: y= 49

Part 2: y=12

Step-by-step explanation:

Part 1: The y is going up by 7, so if you add 7 to 42, you get 49

Part 2: The y is going up by 4, so if you add 4 to 8, you get 12

Please help me with this !!

Answers

Answer:

akismsksksialoalqoq kskw! sola skkss

Step-by-step explanation:

smksmskkwow!skkw

PLSSSSSSS HELP ME CORRECT ANSWER

Answers

Answer:

8 units

Step-by-step explanation:

The formula for the area of a parallelogram is base * height = area. You have that the height = 5 and the area = 40, so that means base * 5 = 40.

If base * 5 = 40, you know that base = 8. You can also solve this like an equation:

b * 5 = 40

divide both sides by 5

b = 40/5 = 8 units

Answer: 8 units

uwu ur mom i hate flagotgs fr THAT IS A JOKE NO I DONT PLWAASE IMSS EORRY

7x + 2y = 24
8x + 2y = 30

Answers

Answer:

x=6

so

6x7

42+ = 24/2

12-42

y=-30

Step-by-step explanation:

Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.



Which statement proves that WXYZ is a parallelogram?


A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

D. Show that segments WX and XY have slopes that are opposite reciprocals of each other.

Answers

B is the answer show that segments WX AND YZ have equal lengths

The statements are -

A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.

The statements that prove WXYZ as a parallelogram are -

A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

Therefore, the statements are -

A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

#SPJ6

How can the decimal 1.245 repeating be written as a quotient of two integers?

Answers

Answer:

1244/999

Step-by-step explanation:

So we have 1.245245245245.... which we call x.

If we times this by 1000 (because 3 digits repeat) we get

1000x = 1245.245245245....

Subtract x from both sides:

999x = 1245.245245245... - 1.245245... = 1244

This means that x = 1244/999

This fraction cannot be simplified so this is the answer.

If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.

You are reading a new book. On Monday you read 3 pages. On each day after that, you read 3 times the number of pages you read on the previous day. How many pages do you read on Thursday?

pages plz answer me

Answers

81 pages.

Step-by-step explanation:

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

Answer:

81

Step-by-step explanation:

3x3x3x3

Leo's bank balances at the end of months 1, 2, and 3 are $1,700.00, $1,734.00, and $1,768.68, respectively. The balances form a geometric sequence. What will Leo's balance be after 8 months? Leo's bank balance will be $ after 8 months.​

Answers

Answer:

i think it$1,991.82. this is what i got.

Step-by-step explanation:

What unit should be used to calculating fundraising for field trip

Answers

Answer:

the mcps i think

Step-by-step explanation:

Im not sure :/

Which equation does the model below represent? pls help !

Answers

Answer:

the answer to this is d

Step-by-step explanation:

x-3=5

El perímetro de un rombo es igual al de un pentagono regular más 9, y la medida del lado del rombo es el doble de lo que mide un lado del pentagono. ¿Cuánto miden los lados de cada figura?

Answers

Answer:

Rombo es 6

Pentágono es 3

Step-by-step explanation:

Formula del perímetro de un rhombus es 4a

Formula del perímetro de un pentágono es 5b

La pregunta dice

4a = 5b + 9

Otra vez, la pregunta dice la medida del lado del rombo es el doble de lo que mide un lado del pentagono. Entonces,

a = 2b

Si

4a = 5b + 9 y

a = 2b, entonces que

4(2b) = 5b + 9

8b = 5b + 9

8b - 5b = 9

3b = 9

b = 9/3

b = 3

si, b = 3, tan

a = 2(3)

a = 6

Entonces, la medida del lado del rombo es 6 y la medida del lado del pentágono es 3

can somebody please try to break down how to solve systems of equations by substitution as much as possible? i've used so many apps but i still can't get a grasp of it. please!!! 20 points. please don't answer just for the points!!!

Answers

Answer:

okay, so let's take an example problem:

y = x + 4 where "y" = 5

so first, you plug in 5 in "y"'s place like so:

5 = x + 4

then, you solve for "x"

5 - 4 = 1

so therfore:

x = 1

if you need more of an explanation please do not be afraid to reach out. my goal isn't to get points, it's to help.

pleaseeee help i need to turn thiis in and i have no idea what it is!!

Answers

Answer: You will need 250 boxes of popcorn to meet your $300 goal.

Step-by-step explanation:

Answer:

5 boxes of popcorn makes 300 usd

Step-by-step explanation:

Someone please explain how to get the answers

Answers

Answer:

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle D =40\degree [/tex]

what is the hcm of 18 and 45

Answers

Answer:

90

Step-by-step explanation:

90 Or, we can say that it is a method of breaking down the given integer into its prime factors. Therefore, the HCF of 18 and 45 is 9. Therefore, the HCF of 18 and 45 is 90.

what is the length of side n? ​

Answers

Answer:

6

Step-by-step explanation:

Hurry please will mark brainliest!!!!!

Answers

Answer:

C

Step-by-step explanation:

brianliest :3

The answer is C (rotation 90° clockwise)

Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay. S=sandwiches

Answers

Answer:

8s + 12

s=12-8

s=4

or

8s +12

s=12+8

s=20

Step-by-step explanation:

im not sure kung minus o plus kasi kung kinus mababa lang binayad nya

S=12-8=4 hope this helps :)

A meal costs $30 before tax and tip.
There is a 7% sales tax. After the tax, a 20% tip is
added.
What is the total after tax and tip?

Answers

Answer:

$38.1

Step-by-step explanation:

Tax: 30*0.07 = 2.1

Tip: 30*0.2 = 6

Total: 30 + 2.1 + 6 = 38.1

Find the equation of the line that passes through both points (6,-5) (0,3)

Answers

Answer:

y = -4/3x + 3

Step-by-step explanation:

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