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
irina1246 [14]
1 year ago
13

The sum of the first four terms of an arithmetic sequence is $10$. If the fifth term is $5$, what is the sixth term?

Mathematics
1 answer:
Nookie1986 [14]1 year ago
7 0

The sixth term of an arithmetic sequence is 6

<h3>How to find arithmetic sequence?</h3>

The sum of the first four terms of an arithmetic sequence is 10.

The fifth term is 5.

Therefore,

sum of term = n / 2(2a + (n - 1)d)

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore,

n = 4

10 = 4 / 2 (2a + 3d)

10 = 2(2a + 3d)

10 = 4a + 6d

4a + 6d = 10

a + 4d = 5

4a + 6d = 10

4a + 16d = 20

10d = 10

d = 1

a + 4(1) = 5

a = 1

Therefore,

6th term = a + 5d

6th term = 1 + 5(1)

6th term = 6

learn more on sequence here: brainly.com/question/24128922

#SPJ1

You might be interested in
Anna and Bobie joined two different swimming classes at the same time.
jeyben [28]

Answer:

It would be 10 months for the price of $320.

Step-by-step explanation:

First we need to find how much Anna's swimming charge and Bobie's charge is.

PA=70+t The price of the month equals to the starting fee and monthly charge

120=70+2t The price of 2 months times the monthly charge

50=2t

25=t           is Anna's monthly charge

PB=250+t   is Bobies starting price and monthly charge

264=250+2t is the month charge for Bobie after 2 months

14=2t

7=t              is Bobie's monthly charge

70+25x=250+7x    We need to find x which is what month will satisfy both equations

25x=180+7x         Subtract 70 from both sides

18x=180                Subtract 7x from both sides

x=10                      divide 18 from both sides

Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.

PA=70+25x                                               PB=250+7x

PA=70+25(10)                                            PB=250+7(10)

PA=70+250                                               PB=250+70

PA=320                                                      PB=320

6 0
3 years ago
Read 2 more answers
5) 36% of 68.1 is what?
Salsk061 [2.6K]

Answer:

I'm pretty sure it's 24.516

6 0
3 years ago
Read 2 more answers
Help me with this!!! Please please
Rina8888 [55]

Answer:

about 154.3

Step-by-step explanation:

8 0
3 years ago
"Exponential Functions" Please respond to the following: Explain how exponential functions can model both phenomena that grow an
andrew11 [14]

Answer:

Step-by-step explanation:

Exponential functions grow at the fastest rate because the function increase or decrease in a power form.

for example, "2 raised x "means that when ever the power increase the number gets large and the same for decrements.

example: when x=1 it becomes 2

                         x=2                    4

                         x=3                     8

                        .

                        .

                        x=n                   2∧n which a very big number.

In the same case it decreases dramatically if the power is negative or the number is improper fraction with positive number exponent; like (3/4)∧x,2∧-x  when x is positive real number.

The similarities  of both trend is that the change is the same both decrease or increase in similar scenario.

the difference is already known that one goes up with out bound but the one which decays goes down ward both with limitation and in unlimited cases.

7 0
3 years ago
The standard deviation of a population is 2.8.<br><br> What is the margin of error?
Leno4ka [110]
Plz give me some w
Options
6 0
3 years ago
Read 2 more answers
Other questions:
  • Thank you guys for helping me I know I'm being annoying
    9·1 answer
  • What is the greatest common divisor of $1665,$ $4554,$ $1683,$ and $4050$?
    15·2 answers
  • Will the product of 9/8 and6 be greater or less than 6
    8·2 answers
  • This table shows values that represent an exponential function. What is the average rate of change for this function for the int
    8·1 answer
  • Jane run 7 miles in 60 minutes. At the same rate, how many miles will she run in 24 minutes
    10·1 answer
  • Any americans still active on here?
    12·2 answers
  • Linda Davis agreed to lend money to Alex Luciano at a special interest rate of ​9% per​ year, on the condition that he borrow en
    7·1 answer
  • Change the following mixed expressions to fractions and then simplify the complex fractions.
    7·1 answer
  • Find the slope plz help help plz
    9·1 answer
  • PLZ help with answer! See attachment:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!