Mathematics College

Write a rule for the nth term of the arithmetic sequence described below.
A5 =
91 and a20 =
1
an=
A25=

Write A Rule For The Nth Term Of The Arithmetic Sequence Described Below.A5 =91 And A20 =1an=A25=

Answers

Answer 1

Answer:

an = 115 + (n - 1) (-6)

a25 = - 29

Step-by-step explanation:

We use the definition for the nth term of an arithmetic sequence:

an = a1 + (n - 1) d

a5 = 91 = a1 + (5 - 1) d

91 = a1 + 4 d

a20 = 1 = a1 + (20 - 1) d = a1 + 19 d

1 = a1 + 19 d

now we subtract term by term one expression from the other

90 = 4 d - 19 d

90 = - 15 d

divide both sides by -15 to isolate d

d = 90 / (-15) = -6

Now we can calculate what a1 is using for example:

1 = a1 + 19 d

1 = a1 - 114

add 114 to both sides:

115 = a1

Then our general expression for the sequence is:

an = 115 + (n - 1) (-6)

We can now use it to calculate the value of a25:

a25 = 115 + (24) * (-6) = -29

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Answers

Answer:

x = 3

Step-by-step explanation:

i hope this helps you!!!

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#

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Answers

Answer:

P: the principal, the amount invested

A: the new balance

t: the time

r: the rate, (in decimal form)

Step-by-step explanation:

Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.

P = $1000, t = 2 years, r = 0.08.

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= 4.5

Answers

Answer:

[tex]i[/tex] = 13.5

Step-by-step explanation:

Explanation:-

Given that the equation

          [tex]\frac{i}{3} = 4.5[/tex]

cross multiplication, we get

         [tex]i[/tex] = 4.5 × 3

       [tex]i[/tex] = 13.5

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Answers

Answer:

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Step-by-step explanation:

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blank 2 says { for each number } or { there is one number }

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Answers

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Answers

Answer:

-12

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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= sinA gets canceled out so,

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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26

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Answers

Sorry but I need more information


[tex]4.6 + 5.1 - 3.2 = [/tex]
​

Answers

the answer is 6.5. 4.6+5.1=9.7-3.2=6.5
Remember PEMDAS. Add, then subtract. Don’t let the fact that you’re adding decimals confuse you, it’s the same thing as adding any other number.

1. add 4.6+5.1
Put the numbers on top of each other and line up the decimal places. Add.

2. take the number you got from step one, and subtract 3.2.

Hope this helps!

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

11x+1=67

    -1   -1

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Hope I helped!

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Answers

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

make equation

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simplify

4/5x=3/10

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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A bus traveling from Memphis to Nashville has an average speed of 53 mph. How long will the trip take in hours if the distance between the two cities is 220 miles? ( HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK, DO NOT BOTHER ANSWERING IF YOU DO NOT SHOW WORK AND TELL ME HOW YOU GOT YOUR ANSWER!!)
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Answers

Answer:

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Step-by-step explanation:

this is super easy my ffriend. think about it. 53 miles per hour. how many miles do u go in an hour... 53 MILES PER HOUR. so you now know you go 53 miles every hour. so what you then do is see that it is 220 miles to ur destination. in an hour you go 53 miles so you take 220 DIVIDED BY 53 and you get ur answer.

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