1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vitfil [10]
3 years ago
13

Determine the indicated term in the following arithmetic sequences.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

a_5= 14

a_{20}= 80

a_{18}= 340

Step-by-step explanation:

Solving (a):

We have:

a_1=2 --- first term

d = 5 -2 = 3 common difference

The 5h term is:

a_n= a_1 + (n - 1)d

a_5= 2+ (5 - 1)*3

a_5= 14

Solving (b):

We have:

a_1 = 4 --- first term

d = 8 -4 = 4 common difference

The 20h term is:

a_n= a_1 + (n - 1)d

a_{20}= 4+ (20 - 1)*4

a_{20}= 80

Solving (c):

We have:

a_1 = 0 --- first term

d = 20 -0 = 20 common difference

The 18th term is:

a_n= a_1 + (n - 1)d

a_{18}= 0+ (18 - 1)*20

a_{18}= 340

You might be interested in
Which of the following is an obtuse triangle ?
vichka [17]

Answer:

A. Triangle B

Step-by-step explanation:

Obtuse angles are greater than 90°, but less than 180°.

I am joyous to assist you anytime.

7 0
3 years ago
A sporting goods store marks up the cost s of soccer balls by 250%. Write an expression that represents the retail cost of the s
gladu [14]
S•250% hope this helps!!
6 0
3 years ago
Last year, Keiko had $20,000 to invest. She invested some of it in an account that paid %7 simple interest per year, and she inv
erma4kov [3.2K]

Answer:

P_2 = \$6,000\\P_1 = \$14,000

Step-by-step explanation:

The formula of simple interest is:

I = P_0rt

Where I is the interest earned after t years

r is the interest rate

P_0 is the initial amount

We know that the investment was $20,000 in two accounts

_______________________________________________

<u><em>For the first account</em></u> r = 0.07 per year.

Then the formula is:

I_1 = P_1r_1t

Where

P_1 is the initial amount in account 1 at a rate r_1 during t = 1 year

I_1 = P_1(0.07)(1)\\\\I_1 = 0.07P_1

<u><em>For the second account </em></u>r = 0.05 per year.

Then the formula is:

I_2 = P_2r_2t

Where

P_2 is the initial amount in account 2 at a rate r_2 during t = 1 year

Then

I_2 = P_2(0.05)(1)\\\\I_2 = 0.05P_2

We know that the final profit was I $1,280.

So

I = I_1 + I_2=1,280

Substituting the values I_1, I_2 and I we have:

1,280 = 0.07P_1 + 0.05P_2

As the total amount that was invested was $20,000 then

P_0 = P_1 + P_2 = 20,000

Then we multiply the second equation by -0.07 and add it to the first equation:

0.07P_1 + 0.05P_2 = 1.280\\.\ \ \ \ \ \ \ \ +\\-0.07P_1 -0.07P_2 = -1400\\-------------

-0.02P_2 = -120\\\\P_2 = 6,000

Then P_1 = 14,000

4 0
3 years ago
What is 200 degrees celsius in fahrenheit?
Veronika [31]
392 degrees Fahrenheit.
6 0
3 years ago
Pls help due tonight. BRIANLIEST IF CORRECT. Prob easy tho.
vodka [1.7K]

Find two numbers that multiply to be 20 and add up to be -12. The question

5 x 4 = 20

2 x 10 = 20

20 + -32 = -12

good luck!!!

7 0
3 years ago
Other questions:
  • 1 . a sequence in which a fixed amount is added on to get the next term arithmetic sequence 2 . an individual quantity or number
    7·1 answer
  • What is the solution
    9·1 answer
  • Four multiplied by the sum of 8 and a number is the same as 59 more than the number. find the number.
    9·1 answer
  • You sell eggs from the farm at a price of 3 for $2.00, 6 for $3.50, 12 for $6.00, and 24 for $13.00. What is the approximate per
    11·2 answers
  • What does 6 - x = 9??
    5·1 answer
  • Find the total surface area of this square based
    12·1 answer
  • (1/3)^x^1/4 • (1/3)^x^2/3
    9·1 answer
  • My smart people help me love yall! ^^
    6·1 answer
  • Need help with another question please
    13·1 answer
  • Solve the following equation simultaneously 2a-3b+10=0, 10a+6b=8​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!