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
prisoha [69]
2 years ago
11

The sum of the first three terms of a sequence is 6 and the fourth term is 16

Mathematics
1 answer:
Sati [7]2 years ago
6 0

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

You might be interested in
Add (4x+4)+(5b+3) simplify your Answer. Help
yarga [219]

Answer:

5+4+7

Step-by-step explanation:

I think

5 0
3 years ago
Read 2 more answers
Type the correct answer in the box. Use numerals instead of words.
Karo-lina-s [1.5K]

Answer:

6

Step-by-step explanation:

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.

If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

y=-0.5x+b

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

1=-0.5\cdot 10+b\\ \\1=-5+b\\ \\b=1+5\\ \\b=6

and the equation of the line is

y=-0.5x+6

Since b=6, the y-intercept of the line is 6.

7 0
3 years ago
Read 2 more answers
512/2 simplified fraction form
Dvinal [7]

Step-by-step explanation:

\frac{512}{2}  \\  \\  \frac{201}{1}

5 0
2 years ago
Someone please help me
Alexxandr [17]
The answer is C since the 1 in the square root is a horizontal shift to the left by one and a vertical shift up by 7
5 0
3 years ago
the moon is a sphere with a radius of 567 km. determine an equation for the ellipse if the distance of the satellite from the su
KIM [24]
A=567 km+900 km
a=1,467 km

b=567 km+169 km
b=736 km

x^2/a^2+y^2/b^2=1
x^2/(1,467)^2+y^2/(736)^2=1

Please, see the graph in the attached graph.

Thanks. 

3 0
3 years ago
Other questions:
  • Suppose Richard walks 1 kilometer every 10 minutes. How many meters further can he walk in 1 hour at this new rate?
    9·1 answer
  • the ratio of boys to girl in Mr. Claytons class is 2:3. If there are 30 total students how many more girls are in the class than
    7·2 answers
  • SIMPLIFY (81/16}-3/4 X {(25/9)-3/2 DIVIDED BY (5/2)-3}
    14·1 answer
  • Use the definition of continuity and the properties of limit to show that the function f(x)=x sqrtx/ (x-6)^2 is continuous at x=
    8·1 answer
  • The diagram shows a 5 cm x 5 cm x 5 cm cube.
    6·1 answer
  • Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional
    10·2 answers
  • Ella has a points card for a movie theater.
    14·1 answer
  • Please help me thank you​
    11·1 answer
  • Evaluate the expression 4 × (3 + 52) ÷ 2. Show your work.
    5·2 answers
  • Pleassee HELPP me with 7,8 thank youuu
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!