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
vichka [17]
3 years ago
8

In the sequence s of numbers, each term after the first two terms is the sum of the two immediately preceding terms. what is the

5th term of s ? the 6th term of s minus the 4th term equals 5. the 6th term of s plus the 7th term equals 21.
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0
Sn=n/2 (2a1 +(n-1)d)

[s5= 5/2 (2a1 +(5-1)d) = 5a1+10d]

s6=3(2a1+5d) = 6a1+15d
s4=2(2a1+3d) = 4a1+6d

6a1+15d -(4a1+6d) = 5 -----(1)

s7=7/2(2a1+6d) =7a1+21d

6a1+15d + 7a1+21d = 21 -----(2)

(1) 2a1+9d=5 -----(3)
(2) 13a1+36d=21 ----(4)

(3)*4 ; 8a1+36d=20 ----(5)
(4)-(5) 5a1 = 1
so a1 = 1/5

(3) 2a1+9d=5
2(1/5)+9d = 5
9d = 5-2/5 =23/5
d = 23/45


so [s5= 5/2 (2a1 +(5-1)d) = 5a1+10d = 5(1/5) + 10(23/45) = 1 + 5.11 = 6.11 ]

i'm not sure about the answer but the process is correct
You might be interested in
Solve for u. -5u/8=-10​
nikdorinn [45]

Answer:

u  16

Step-by-step explanation:

3 0
3 years ago
Parabolic microphones are used for field audio during sports events. The microphones are manufactured such that the equation of
S_A_V [24]

Answer:

a. 8.5 in.

b. 34 in

c. x = 1/39 x^2.

Step-by-step explanation:

Part a.

x = 1/34 y^2

y^2 = 34x

Comparing with y^2 = 4px where p is the focus:

4p = 34

p = 8.5 in.

Part b.

The diameter = 4p = 34 in.

Part c.

Diameter = 4p = 34 + 5 = 39 in

The new equation is x = 1/39 x^2.

4 0
3 years ago
Radar indicates a car is traveling at 90 miles per hour. How fast is the car traveling in kilometers per hour? (Use this convers
kirill115 [55]
You need to write simple equation:
90\frac{mile}{h}=90*1,609\frac{km}{h}=144,81\frac{km}{h}
7 0
3 years ago
Case study
stepladder [879]

Given:

The data set is

21, 16, 30, 15, 16, 18, 10, 24, 26, 20, 19, 24, 24, 25, 23

10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30

To find:

The range, average and median for the given data set.

Solution:

Arrange the data set in ascending order.

10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30

(1)

Range = Maximum value - Minimum value

           = 30 - 10

           = 20

Therefore, the range of the given data set is 20. All the options are incorrect.

(2)

Average=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}

Average=\dfrac{311}{15}

Average\approx 20.73

Therefore, the average score is about 20.73. All the options are incorrect.

(3)

Number of observations = 15, which is odd.

Median=\dfrac{n+1}{2}\text{th term}

Median=\dfrac{15+1}{2}\text{th term}

Median=\dfrac{16}{2}\text{th term}

Median=8\text{th term}

In the arranged data set 8th term is 21.

Median=21

Therefore, the correct option is b.

7 0
3 years ago
Jenny is making a toilet cleaner from vinegar and water in the ratio of 1 : 5. She starts by mixing 4.5 cups of water with 7 cup
blsea [12.9K]

Answer:

She need need 0.5 more cups of water.

Step-by-step explanation:

If you do 5 - 4.5 it will equal 0.5.

3 0
3 years ago
Other questions:
  • What is the exact area of either face of the coin in term
    7·1 answer
  • A real estate agent sold a home worth $475,000. She asks for 6% commission, but the people selling the home only want to pay her
    11·2 answers
  • Jessica runs 10 miles In 85 minutes. At the same rate, how many minutes would she take to run 8 miles?
    13·2 answers
  • What is 6=1–2n+5?????
    8·2 answers
  • An isosceles triangle has an angle that measures 100°. Which other angles could be in that isosceles triangle? ​
    6·1 answer
  • A home repair crew charges $75 per day plus $255 for each hour the crew works. One day the crew works c hours and charges a tota
    11·1 answer
  • Can you help me? Look at the last question I posted as an example.
    6·2 answers
  • !!!!!!!!!!!!!!!PLEASE HELP ME!!!!!!!!!!!!!!!
    5·1 answer
  • Pls help me
    8·1 answer
  • On which intervals is the function increasing? Choose<br> all that apply.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!