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
what is the similarity ratio of the smaller to the larger similar cylinders? enter your answer as a:b​
Andre45 [30]

Answer:

2 : 3

Step-by-step explanation:

Given:

The two cylinders are similar. So, their corresponding dimensions must be in proportion.

\frac{\textrm{Radius of small cylinder}}{\textrm{Radius of larger cyclinder}}=\frac{12}{18}=\frac{2}{3}=2:3

\frac{\textrm{Height of small cylinder}}{\textrm{Height of larger cylinder}}=\frac{20}{30}=\frac{2}{3}=2:3

Therefore, the similarity ratio of the smaller to the larger similar cylinders is 2 : 3.

4 0
3 years ago
Pls, Help I will mark brainliest and can you please show me working on how you did it,...I really need help
wolverine [178]

Answer:

Step-by-step explanation:

I think you just multiply 10 x 5 which equals 50 so both town's orignial population amount was 50%. I think ;-;

8 0
2 years ago
Please answer my question
Alja [10]
12x^4-4x/ 4
3x^4-x
X(3x^3-1)
Hope it’s help you
8 0
2 years ago
What is the volume of a box measuring 8mm×10cm×5cm
notka56 [123]
The answer is 400 because u multiply 8 x 10= 80 x 5=400 
8 0
3 years ago
Read 2 more answers
Whose up for mixed numbers fraction easy but have four pages
Alex777 [14]
3. A
2. C
Idk if you should repost this with a better pic though
6 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP TIMED ASSIGNMENT, I WILL MARK BRAINLIST TO THE FIRST PERSON WHO RESPONDS:)
    9·1 answer
  • What is greater, 3/5r 4/10?
    12·1 answer
  • How many girls are in the marching band? And how can I turn 3/10 into a number
    15·1 answer
  • Help me please and thank you :)
    14·1 answer
  • 30/40 devided by 10
    7·2 answers
  • HELP DUE IN 15 MINS! <br> Solve for x in the parallelogram below:<br><br> X=??
    12·2 answers
  • If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation
    10·1 answer
  • PLEASEEE i REALLY need help!! This is due tonight!!
    11·1 answer
  • Which place is the 4 in? 815.604​
    13·2 answers
  • The length of each of two sides of a triangle is The third side's length is 15sqrt(2) . Classify the triangle
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!