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
Pie
3 years ago
15

100 POINTS! PLEASE HELP ASAP!

Mathematics
2 answers:
vampirchik [111]3 years ago
6 0

Question #1:

Since the common ratio is -2 that means each term is going to be multiplied by -2 to get the next term.

First term: -8

Second term: -8 * -2 = 16

Third term: 16 * -2 = -32

Fourth term: -32 * -2 = 64

Therefore, the first 4 terms of the geometric sequence are -8, 16, -32, 64

Question #2:

It gives an equation to follow to solve for each term of the sequence. We can solve for each term till we get to the 4th term.

Second term:

a2 = 2(5) + 3

a2 = 10 + 3

a2 = 13

Third term:

a3 = 2(13) + 3

a3 = 26 + 3

a3 = 29

Fourth term:

a4 = 2(29) + 3

a4 = 58 + 3

a4 = 61

Therefore, the fourth term of the sequence is 61.

Question #3:

a5 just means that we are going to find the fifth term of the sequence.

Second term:

a2 = -3(2) + 2

a2 = -6 + 2

a2 = -4

Third term:

a3 = -3(-4) + 2

a3 = 12 + 2

a3 = 14

Fourth term:

a4 = -3(14) + 2

a4 = -42 + 2

a4 = -40

Fifth term:

a5 = -3(-40) + 2

a5 = 120 + 2

a5 = 122

Therefore, the fifth term of the sequence is 122.

Best of Luck!

anygoal [31]3 years ago
4 0

Answer:

<u>PICTURE #1</u>

<u />a_1 = 5\\a_2 = 2a__(n-1) + 3

<u>Step 1:  Solve for </u>a_2

a1 = 5

a_2 = 2a___n-1\\ +3

a_2=2a__(2-1) + 3

a_2 = 2a_1 + 3

a_2 = 2(5) + 3

a_2 = 10 + 3\\

a_2 = 13

<u>Step 2:  Solve for </u>a_3

a_2 = 13

a_3 = 2a__(3-1) + 3

a_3 = 2a_2 + 3

a_3 = 2(13) + 3

a_3 = 26 + 3

a_3 = 29

<u>Step 3:  Solve for </u>a_4

a_3 = 29

a_4 = 2a__(4-1) + 3

a_4 = 2a_3 + 3

a_4 = 2(29) + 3

a_4 = 58 + 3

a_4 = 61

The fourth terms is:  a_4 = 61

<u>PICTURE #2</u>

<u></u>a_1 = 2\\a_2 = -3a__(n - 1) + 2

<u>Step 1:  Find </u>a_2

a_2 = -3a_1 + 2

a_2 = -3(2) + 2

a_2 = -6 + 2

a_2 = -4

<u>Step 2:  Find </u>a_3

a_3 = -3a_2 + 2

a_3 = -3(-4) + 2\\

a_3 = 12 + 2

a_3 = 14

<u>Step 3:  Find </u>a_4

a_4 = -3a_3 + 2

a_4 = -3(14) + 2

a_4 = -42 + 2

a_4 = -40

<u>Step 4:  Find </u>a_5

a_5 = -3a_4 + 2

a_5 = -3(-40) + 2\\

a_5 = 120 + 2

a_5 = 122

Answer:  The fifth term for the second picture is -> a_5 = 122

You might be interested in
Kathy swims at least 6 laps every day write an inequality to show how long kathy swims each day?
natima [27]

6 = equal or more than 6

thus each day kathy swims ≥ 6 laps

3 0
2 years ago
(Last one)
Angelina_Jolie [31]
Adjacent anglesTwo angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.Angle Bisectortwo segments that a triangle's side is divided into by a line that bisects the opposite anglecollinearlying in the same straight line.complementary angleseither of two angles whose sum is 90°congruentTwo line segments are congruent if they have the same lengthlinear pairTwo angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degreesopposite raysopposite rays are two rays that have the same endpoint and extend in opposite directionspolyhedrona solid figure with many plane facessegment bisectorA point, segment, line, or plane that divides a line segment into two equal partssupplementary angleseither of two angles whose sum is 180°vertical angleseach of the pairs of opposite angles made by two intersecting linesConditional statementan if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion.Conclusiona judgment or decision reached by reasoningConjecturean opinion or conclusion formed on the basis of incomplete informationConverseOppositeCounterexampleA counterexample is a special kind of example that disproves a statement or propositionHypothesisa supposition or proposed explanation made on the basis of limited evidence as a starting pointPostulate 2.1Through any two points, there is exactly one linePostulate 2.2Through any three points not on the same line, there is exactly one plane
4 0
3 years ago
What is the difference between postitive association and positive correlation
OleMash [197]

Answer: Positive correlation is a relationship between two variables in which both variables move in tandem - that is, in the same direction. A positive correlation exists when one variable decreases as the other variable decreases; or, one variable increases while the other increases.

Step-by-step explanation:

5 0
3 years ago
Simplify to combine the Like Terms
Lorico [155]

Answer:

6a-6b

Step-by-step explanation:

(5a+a)+(2b-8b)

6a-6b

3 0
2 years ago
Read 2 more answers
What is the total surface area of the square pyranid?​
monitta

Answer:

The general formula for the total surface area of a regular pyramid is T. S. A. =12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Is it linear or exponential?? Will mark as brainliest if correct!​
    6·1 answer
  • If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?
    7·2 answers
  • A molecule of sodium carbonate contains 2 atoms of sodium to every 3 atoms of oxygen. Could a compound containing 12 atoms of so
    12·1 answer
  • Camila tried level 1 again to embrace her score on her second try she earned 655 points camila wants to find the number of large
    15·1 answer
  • Help please i added a photo it's simple i'm just slow thank you :/
    14·1 answer
  • Please help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • What’s the answer 5x6 x 1
    11·1 answer
  • 1. clark has 5 times as many pennies as dimes. If he has a total of 4.29, which two linear equations best model this system?
    12·1 answer
  • Write in words what you do to make x the subject of the formula x^2 + y^2 = z^2 .<br> Please explain
    7·1 answer
  • Identify the initial condition in the table.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!