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
Anit [1.1K]
3 years ago
13

10 points! I will thanks, rate, and give best answer!!

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0
Answer: The fourth term is -102

----------------------------------------------

Explanation:

The term after the nth term is generated by this rule  a_{n+1} = -4(a_n) + 2 which means that we first
Step 1) multiply the nth term ( a_n ) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence

Let's follow those steps above to generate the first four terms

The first term is a_1 = 2. In short, the first term is 2

The second term is...
a_{n+1} = -4(a_n) + 2
a_{1+1} = -4(a_1) + 2
a_{2} = -4(2) + 2
a_{2} = -8 + 2
a_{2} = -6
So the second term is -6

The third term is...
a_{n+1} = -4(a_n) + 2
a_{2+1} = -4(a_2) + 2
a_{3} = -4(-6) + 2
a_{3} = 24 + 2
a_{3} = 26
The third term is 26

Finally, the fourth term is...
a_{n+1} = -4(a_n) + 2
a_{3+1} = -4(a_3) + 2
a_{4} = -4(26) + 2
a_{4} = -104 + 2
a_{4} = -102
The fourth term is -102.
You might be interested in
Given the points (5, 5) and (3, 7), write a linear equation that contains both in slope-intercept form.
zlopas [31]
First find slope
(7-5)/(3-5) = 2/-2 = -1
Slope intercept: y = mx + b
Y = -1x + b, plug in point
5 = -1(5) + b, b = 10
Equation: y = -1x + 10
5 0
2 years ago
Read 2 more answers
Consider the next 1000 90% CIs for μ that a statistical consultant will obtain for various clients. Suppose the data sets on whi
Ivenika [448]

Answer:

90% CI expects to capture u 90% of time

(a) This means 0.9 * 1000 = 900 intervals will capture u

(b) Here we treat CI as binomial random variable, having probability 0.9 for success

n = 1000

p = 0.9

For this case, applying normal approximation to binomial, we get:

mean = n*p= 900

variance = n*p*(1-p) = 90

std dev = 9.4868

We want to Find : P(890 <= X <= 910) = P( 889.5 < X < 910.5) (integer continuity correction)

We convert to standard normal form, Z ~ N(0,1) by z1 = (x1 - u )/s

so z1 = (889.5 - 900 )/9.4868 = -1.11

so z2 = (910.5 - 900 )/9.4868 = 1.11

P( 889.5 < X < 910.5) = P(z1 < Z < z2) = P( Z < 1.11) - P(Z < -1.11)

= 0.8665 - 0.1335

= 0.733

6 0
3 years ago
What is the product of (5-2i)(3i)?
lora16 [44]
Search it up on safari and you’ll find the answer
6 0
3 years ago
Read 2 more answers
At bright minds learning , 75% of employees work as instructors . If there are 300 employees at bright mind Learning , how many
Scilla [17]

Answer:

225

Step-by-step explanation:

75/100×300=225

3 0
3 years ago
5x + 5(x - 18) = 0 x = ?
dmitriy555 [2]
Hopes this helps:

Answer: 9
4 0
3 years ago
Other questions:
  • Which will result in a diffrent of squares
    5·2 answers
  • Find the slope of 8x+2y=96
    9·1 answer
  • An airplane takes 4 hours to travel a distance of 2600 miles with the wind. The return trip takes 5 hours against the wind. Find
    8·1 answer
  • WEEK 8 DISCUSSION 250 words in word file so i can copy
    8·1 answer
  • What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?
    8·1 answer
  • Which of the following is an extraneous solution of square root 4x+41=x+5
    5·1 answer
  • David drew a scaled down model of a racquetball court he played on last week what is the actual perimeter of the court david pla
    6·1 answer
  • 20 friends to 15 strangers
    7·2 answers
  • HELP I NEED HELP ASAP
    5·1 answer
  • HELP DUE AT 9:00 PM!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!