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
Aleonysh [2.5K]
3 years ago
8

If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term.

Mathematics
1 answer:
Simora [160]3 years ago
4 0
Consecutive terms in an arithmetic sequence differ by a constant d. So

5k-1=2k+d
6k+2=5k-1+d
\implies\begin{cases}3k-d=1\\k-d=-3\end{cases}\implies k=2,d=5

Denote the n-th term in the sequence by a_n. Now that a_1=2, we have

a_n=a_{n-1}+5=a_{n-2}+2\cdot5=\cdots=a_1+(n-1)\cdot5

which means

a_8=2+(8-1)\cdot5=37
You might be interested in
How many square inches of tin are needed to make the top of a can that is 10 inches in diameter? A) 62.8 in2 B) 78.5 in2 C) 227
Xelga [282]
Area of a circle = PI*radius^2
10 inch diameter = 5 inch radius
Area = PI* 5^2
Area = <span> <span> <span> 78.5398163397 </span> </span> </span>
Answer is B)


8 0
3 years ago
Read 2 more answers
happy paws $17.00 plus $3.50 per hour to keep a dog during the day. Woof charges $11.00 plus $4.75 per hour. complete equeation
yKpoI14uk [10]

Answer:

3.50h + 17

4.75h + 11

Step-by-step explanation:

3.50 per hour times the hours, h, plus the fee, 17

4.75 per hour times the hours, h, plus the fee, 11

4 0
3 years ago
Find the range of the data. .
AlekseyPX

Answer: 4

Step-by-step explanation: Range is the difference between the highest and lowest number, so since 5 is the highest and 1 is the lowest you subtract 1 from 5 to get your answer: 4.

7 0
2 years ago
Read 2 more answers
three and four angles below form a triangle which of the angles to do not belong 35 degrees 115 degrees 50 degrees 30 degrees ​
aleksandrvk [35]
50 degrees doesn’t belong because

35 + 115 + 30 = 180 degrees

Hope this helped :)
7 0
3 years ago
Suppose y varies inversely as x, and y=25 when x=3. Find x when y=15
malfutka [58]

Answer:

If

y

varies inversely as

x

then

XXX

x

⋅

y

=

c

for some constant

c

We are told when

x

=

2

then

y

=

15

So

XXX

2

⋅

15

=

c

XXX

⇒

c

=

30

and

XXX

x

⋅

y

=

30

Therefore when

y

=

3

XXX

x

⋅

3

=

30

XXX

→

x

=

10

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is 3.56 as a fraction
    9·2 answers
  • Simplify the fraction 8/36
    12·1 answer
  • A fast food chain surveyed a random sample of students to determine what pizza they prefer cheese pizza was preferred by 40 stud
    7·1 answer
  • A mouse runs across a 5.56 m kitchen floor in 3.42 seconds.What is the velocity of the mouse?
    7·1 answer
  • PLSS HELL ME IM CRYING!! WILL GIVE YOU BRAINLYEST!!!
    14·1 answer
  • If h(x) = 3x – 1 and g(x) = -3x2 – 5, find h(g(x)).
    6·1 answer
  • CAN SOMEONE PLEASE HELP ME
    15·1 answer
  • Rewrite this equation into slope-intercept form. State the slope and y-intercept.<br> -7x+9y=18
    14·2 answers
  • Find the equation of the line perpendicular to <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%20x" id="TexFormula1" ti
    14·2 answers
  • Lilly is investigating a quadrilateral. She measures an angle between the diagonals to be 85 degrees. Which of the following sha
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!