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
Lapatulllka [165]
3 years ago
14

a) Work out the next term in this sequence. 4 12 16 b) Describe the rule for continuing this sequence. 44 41 38 35 32 c) The seq

uences in parts (a) and (b) continue. Work out a number that is in both sequences.

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

1. Next sequence = 20

2. Tn = 47 - 3n

3. Common number: 32

Step-by-step explanation:

Given

Sequence 1: 0, 4, 8, 12, 16

Sequence 2: 44, 41, 38, 35, 32

a. Write out the next sequence in (1)

The pattern followed by sequence 1 is that, each successive sequence is and addition of 4 to the previous sequence..

See observation below

4 = 0 + 4

8 = 4 + 4

12 = 8 + 4

16 = 12 + 4

Definitely, the next sequence will be 4 + the previous sequence.

Next sequence = 16 + 4

Next sequence = 20

2. The rule for continuing sequence 2

It'll be observed that sequence 2 follows an arithmetic progression.

To get the rule for continuing the sequence, the following data are needed.

I. The first term of the sequence.

This is often represented by letter a.

a = 44

II. The common difference.

This is the difference between two successive sequence

This is often represented by letter d.

d = 41 - 44 = -3

Or

d = 38 - 44 = -3

Using the arithmetic progression formula

Tn = a + (n - 1)d

By substituting 44 for a and -3 for d.

Tn = 44 + (n - 1)(-3)

Tn = 44 - 3n + 3

Tn = 44 + 3 - 3n

Tn = 47 - 3n

Hence, the rule for continuing the sequence is 47 - 3n where n is the current term of the sequence

III. Work out a number in common in both sequence

It'll be observed that the visible data of sequence 2 are bigger than that of sequence 1.

To get a common number, we have to extend sequence 1 until we arrive at a common number in both sequence

Sequence 1: 0, 4, 8, 12, 16

This becomes

Sequence 1: 0, 4, 8, 12, 16, 20, 24, 28, 32.....

32 is common in sequence (1) and (2).

If the sequence is extended, we'll arrive at another common number. But we have to stop, since we've arrived at a common number.

You might be interested in
17=-5r what is the equation answer
alukav5142 [94]
R=
ln(5)
−πi+ln(17)
​
6 0
3 years ago
PLEASE HELP? IS THIS RIGHT OR NOT????
zepelin [54]
The answer is actually D. The limit on the left side is computing the derivative at x = a. The right side value of 7 tells us that f ' (a) = 7
3 0
3 years ago
Sophie has two new fish. She feeds one fish
Zielflug [23.3K]

Step-by-step explanation:

One fish eats = 4 pellets

Second fish eats = 5 pellets

No of days one fish stays with Sophie = 72 ÷ 4 = 18 days

No of days second fish stays with Sophie = 72 ÷ 5 = 14.4 days

4 0
3 years ago
Read 2 more answers
Um soo they make me do dis but pls help? 14 points
Agata [3.3K]

Answer:

3 more than

Step-by-step explanation:

Hope this correct and Your welcome

7 0
3 years ago
Read 2 more answers
and what is distance jeremy jumps from the ramp to the fire escape is _______ feet (round to the nearest tenth of a foot)
Cloud [144]

Answer:

sin(70°) =10/x

The distance Jeremy jumps from the ramp to the fire escape is <u>10.6</u> feet

Step-by-step explanation:

From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft

A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.

From sine definition:

sin(70°) = opposite/hypotenuse

sin(70°) = 10/x

x = 10/sin(70°)

x = 10.6 ft

4 0
3 years ago
Other questions:
  • Mia buys 3 gallons of gas that costs d dollars per gallon. Bob buys g gallons of gas that costs $3 per gallon. a. Write an expre
    5·2 answers
  • What is the nth term of the geometric sequence that has a common ratio of 6 and 24 as it’s third term?
    11·1 answer
  • Elisa withdrew $26 at a time from her bank account and withdrew a total of $208. Frances
    13·2 answers
  • Silver's gym charges a $65 sign-up fee and $50 per month for their membership. Solar Fitness charges a $20 sign up fee and $55 p
    11·1 answer
  • 2x-15/x+9<br> Would be unidentified
    10·1 answer
  • What is the next term of the arithmetic sequence? 1, 3, 5, 7, 9​
    10·2 answers
  • How many ways are there to place 3 indistinguishable red chips, 3 indistinguishable blue chips, and 3 indistinguishable green ch
    6·1 answer
  • Stella invested $6,100 in an account paying an interest rate of 6 1/2%compounded
    6·1 answer
  • What is the area of "triangle " XYZ to the nearest tenth of a square inch? Use special right triangles to help find the height.
    13·2 answers
  • I need help with this question. Please &amp; thank you!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!