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
user100 [1]
2 years ago
13

For each of these sequences below: (a) describe the term-to-term rule (b) calculate the tenth term 4.1) 3 6 9 12 15 4.2) 5 11 17

23 29
Mathematics
1 answer:
ratelena [41]2 years ago
6 0

Answer: The term to term rule is an Arithmetic progression for the two question. B) 1Oth term for the first is 30 and for the second series is 59

Step-by-step explanation:

4.1) 3 6 9 12 15

For the sequence above, we can see that the next term is gotten by addition  of 3 with the previous term and so It is an Arithmetic  progression.

Having in mind the nth term of an AP as  Tn = a + (n - 1)d.

where a is the first term =3

And d common difference =3(6-3,9-6,12-9)

10th term=

T10 = 3+ (10 - 1)3.

T10 = 3+ (9)3.

T10 = 3+ 27.

T10 =30

4.2) 5 11 17 23 29

For the sequence above, we can see that the next term is gotten by addition  of 6 with the previous term and so It is an Arithmetic  progression.

Having in mind the nth term of an AP as  Tn = a + (n - 1)d.

where a is the first term =5

And d common difference =6 (11-5, 17-11,23-17)

10th term=

T10 = 5+ (10 - 1)6.

T10 = 5+ (9)6.

T10 = 5+ 54.

T10 =59

You might be interested in
Given the two graphs below, identify in two complete sentences one similarity and one difference between the graphs.
Advocard [28]

Answer:

well one similarity is that they both cross over zero and one difference is that one is going verticl and one is going up and down

Step-by-step explanation:

7 0
2 years ago
Find the critical numbers of the function f(x) = x6(x − 1)5 what does the first derivative test tell you that the second derivat
patriot [66]
The given function is f(x) = x⁶(x-1)⁵

The first derivative is
f'(x) = 6x⁵(x-1)⁵ + 5x⁶(x-1)⁴
       = x⁵(x-1)⁴(6x - 6 + 5x)
       = x⁵(x-1)⁴(11x - 6)
The critical values are the zeros of f'(x). They are
x = 0, 6/11, and 1.
The critical values indicate that turning points exist for f(x) at the critical points. However, we do not know the nature of the turning points.

Write the first derivative in the form f'(x) = (x-1)⁴(11x⁶ - 6x⁵).
The second derivative is
f''(x) = 4(x-1)³(11x⁶ - 6x⁵) + (x-1)⁴(66x⁵ - 30x⁴)
        = (x-1)³(44x⁶ - 24x⁵ + 66x⁶ - 30x⁵ - 66x⁵ + 30x⁴)
        = (x-1)³(110x⁶ - 120x⁵ + 30x⁴)
        = 10x⁴(x-1)³(11x² - 12x + 3)
The sign of f''(x) at the critical values tell us the nature of the turning point.

f''(0) = 0, therefore a point of inflection exists at x = 0.
f''(6/11) > 0, therefore a local minumum exists at x = 6/11.
f''(1) = 0, therefore a point of inflection exists at x=1.

The graphs shown below confirm these results.

8 0
3 years ago
Find the arc of the circle
gogolik [260]

Answer:

The Arc of the circle is 12.

6 0
2 years ago
George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4
antiseptic1488 [7]

Hello,

Question:

George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4 mile every day, which expression shows the number of days in which he went jogging?

We know:

He jogged 9 1/2 miles during October and November

1/4 mile every day

Answer:

9 and 1 over 2 divided by 1 over 4


6 0
3 years ago
Read 2 more answers
before school,janine spends 1/10 hour making the bed,1/5 hour getting dressed, and 1/2 hour eating breakfast. what fraction of a
KengaRu [80]
8/10 or 4/5 of an hour
3 0
3 years ago
Read 2 more answers
Other questions:
  • Help with rate question plz. Check my answer I got d. Idk if it’s correct and show your work if my answer’s wrong or correct
    7·2 answers
  • What are the solutions to the equation: <br><img src="https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B2%7D%20%20-%204x%20%2B%205%20%3D%
    9·2 answers
  • Find the length of the side of a square with area 225 square units
    7·1 answer
  • The cost of six hens and one duck at the university poultry farm is GH₵40. While four hens and three ducks cost GH₵36. What is t
    14·1 answer
  • What is the vertex of f (x) = 5x^2+20x-16
    9·2 answers
  • I need to find the experimental probability to this question in a fraction
    11·1 answer
  • I cant download the answers.
    5·2 answers
  • A triangle with base 11 and height 8
    11·1 answer
  • Solve multi-step equation 5(x + 6)  = x + 46​
    12·2 answers
  • Taxi Cab Company B: $6.50 per ride and $0.50 per mile
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!