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
tangare [24]
2 years ago
13

Please can someone help there 10 Points for it!!!!

Mathematics
1 answer:
torisob [31]2 years ago
8 0

Answer:

a) The missing terms are 9, 13, 21 and 25.

b) If we know that n_{1} = 9 and r = 4, then the n-th term of the sequence is represented by n_{n} = 9 +4\cdot (n-1).

Step-by-step explanation:

a) Given that elements of the sequence are found by increasing by the same amount, we infer that elements are part of an arithmetical progression. The rate of progression is now determined:

3\cdot r = 29-17

3\cdot r = 12

r = 4

The missing terms are:

n_{1} = 17 - 2\cdot (4)

n_{1} = 9

n_{2} = 17 - 4

n_{2} = 13

n_{4} = 17 +4

n_{4} = 21

n_{5} = 17 + 2\cdot (4)

n_{5} = 25

The missing terms are 9, 13, 21 and 25.

b) The formula for the arithmetical progression is represented by the following formula:

n_{n} = n_{1} + r\cdot (n-1) (1)

Where:

n_{1} - First element of the sequence.

n - Indicator associated with the element of the sequence.

r - Progression rate.

If we know that n_{1} = 9 and r = 4, then the n-th term of the sequence is represented by n_{n} = 9 +4\cdot (n-1).

You might be interested in
A line has a slope of -13. There is a second line that passes through points (-7,-5) and (6,-4) . Would these lines be parallel
Elza [17]
<h3>Answer: The lines are perpendicular</h3>

=================================================

Work Shown:

Use the slope formula to find the slope of the line through the two given points.

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-5))/(6 - (-7))

m = (-4 + 5)/(6 + 7)

m = 1/13

The slope of the line through the two given points is 1/13.

This is not equal to -13, which was the slope of the first line, so the two lines are not parallel.

However, the two lines are perpendicular because multiplying the two slope values leads to -1

(slope1)*(slope2) = (-13)*(1/13) = -1

note: It might help to think of -13 as -13/1 to help multiply the fractions.

3 0
3 years ago
Factor the following expression. 3x^3-12x^2-2x-8
den301095 [7]
(x–4) (3x^2 + 2)

i hope that helps with you’re expression
6 0
2 years ago
Read 2 more answers
Please solve the table correctly.
Hitman42 [59]

Answer:

See below.

Step-by-step explanation:

No. Triangles       Perimeter

 1                                  14

2                                  18

3                                  22

We see from the table, after the first  perimeter  (= 14),  with  each increase of 1 in the number of triangles,  the perimeter increases by 4.

As an equation it is  P = 14 + 4(n - 1)  where P = perimeter and n = number of triangles.

4 0
3 years ago
If you have $100 and then lose $25 what is the percent change
katovenus [111]

\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}

The lost percentage is 25%

The percentage remaining is 75%

  • Thanks
  • ThanksHope it helps
7 0
2 years ago
Find the volume of the following solid figure. A rectangular solid has sides of 10.5 cm, 6.5 cm, and 8.5 cm. What is its volume?
Zolol [24]
580.125 cm3 is the answer.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Read this sentence:
    8·2 answers
  • An ASB Robusta 300 TS sump pump can remove water from Martha's flooded basement in 70 min .The 1 Little Giant 1-A sump pump can
    8·1 answer
  • Please Help! It is Pre-Calc and I need to know the answer!
    8·1 answer
  • If a varies inversely as the cube root of b and a=1 when b=64, find b​
    8·1 answer
  • Write the equation of the circle with center (2, 1) and (5, 2) a point on the circle
    13·1 answer
  • A yacht is anchored 90 feet offshore
    5·2 answers
  • harper middle school has 125 fewer students than bridger junior high when the two schools merge there are 809 students. how many
    14·1 answer
  • Where does the graph of y= -2x + 1 intersect the x-axis?
    10·1 answer
  • Find the values of x and y
    5·2 answers
  • Help I’m doing 8th grade work
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!