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
frez [133]
3 years ago
5

Given a sequence is defined by the explicit definition t_n= n^2+nt n = n 2 + n, find the 4th term of the sequence. (i.e. t_4t 4)

Mathematics
2 answers:
Ne4ueva [31]3 years ago
7 0

<em>*100% CORRECT ANSWERS</em>

kykrilka [37]3 years ago
5 0

Answer:

Question 1:  20

Question 2: 27

Step-by-step explanation:

Question 1:  

Given a sequence is defined by the explicit definition t_{n} = n^{2} + n

Therefore, the 4th term i.e. t_{4} = 4^{2} + 4 = 20 (Answer)

So, the third option is correct.

Question 2:  

Given a sequence is defined by the explicit definition t_{n} = 2^{n} - n

Therefore, the 5th term i.e. t_{5} = 2^{5} - 5 = 27 (Answer)

So, the third option is correct.

You might be interested in
Pls help Thankyou so much ??
Liula [17]
D is correct.

Inputting any of the numbers under the x column into f(x) =|x| will output the number as a positive
6 0
1 year ago
Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of
11111nata11111 [884]

SOLUTION

Given the question on the question tab;

From\text{ the graph; we will trace from x=1 upward to meet the curve, then trace to the y-axis.}

The trace on the graph is given below;

The\text{ value of y when x=1 is 15.}

Final answer:

The volume of the box when x=1 is 15 cubic inches.

7 0
1 year ago
Luis rides his bicycle 34 mile in 5 minutes, or 112 hour, along the bike trail. Assuming he rides at a constant rate, what is hi
artcher [175]

Answer:

408\frac{miles}{hour}

Step-by-step explanation:

we know that

To find the speed divide the total distance by the time

so

\frac{34}{(1/12)}=34*12=408\frac{miles}{hour}

3 0
2 years ago
Determine the value of a if one solution to the quadratic equation is x equals 5 + 3/2 I
Sindrei [870]

The value of a is \frac{-9}{4}

Step-by-step explanation:

<u>1. Determine the other solution of x</u>

If one value is 5 + \frac{3}{2} then the other value is 5 - \frac{3}{2}

<u>2. Use reverse technique to find the equation</u>

(5 + \frac{3}{2}) (5 - \frac{3}{2}) = 0

25 - \frac{-15}{2} + \frac{15}{2} - \frac{9x^{2} }{4} = 0

- \frac{9x^{2} }{4} + 25 = 0

<u>3. The equation is</u> - \frac{9x^{2} }{4} + 25 = 0

<u>4. Find the value of a</u>

a is the number with the variable x^{2} therefore it is - \frac{9}{4}

Keyword: quadratic equation, solution

Learn more about quadratic equation at

  • brainly.com/question/4460262
  • brainly.com/question/1332667

#LearnwithBrainly

8 0
3 years ago
A spinner numbered 1 through 5 is spun 3 times. what is the probability of spinning a number less than 3 each time? are these ev
olya-2409 [2.1K]
Prob(spinning a number < 3on 1 spin)  = Prob( spinning 1 or 2) = 2/5

Prob( spinning <3 3 times) =  2/5 * 2/5 * 2/5  = 8/125

These events are independent so we multiply the probabilities.
4 0
3 years ago
Other questions:
  • Find the maximum value of c=4x+2y<br>2x+2y less than or equal to 10<br>3x+y less than or equal to 9
    13·1 answer
  • I need help on number 7 please
    10·1 answer
  • A pottery studio received 48 bags of clay, each bag weighs 25 pounds, it takes 5 pounds of clay to make 1 bowl, how many bowls c
    14·1 answer
  • Connor is asked to find the probability of rolling a prime number on a die. He states that this is a simple event. True or false
    5·1 answer
  • A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 132 pounds requires
    13·1 answer
  • Find the x and y intercepts of the function f (x) = 2x^2 - 7x + 5
    8·1 answer
  • Graph 3x + 4y = 12.<br> y
    8·1 answer
  • 4(1-x)+2x=-3(x+1 solve for x
    7·1 answer
  • Please help me!I will give you 44 points
    14·1 answer
  • Equation to find three consecutive odd integers whose sum is 3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!