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
Afina-wow [57]
3 years ago
15

For each of the following sequences, • Give a formula for the nth term in the sequence, • Give a recursive definition for the se

quence (ie. initial values and a recursive equation). (a) 1, 2, 3, 4, 5, . . . (b) 1, 2, 4, 8, 16, 32, . . . (c) 1, 2, 6, 24, 120, . . .
Mathematics
1 answer:
Andrew [12]3 years ago
5 0

Answer:

(a)n^{th} = n

f(1) = 1

f(n) = f(n-1) + 1

(b)n^{th} = 2^{n-1}

f(1) = 1

f(n) = f(n-1) * 2

(c)n^{th} = n!

f(1) = 1

f(n) = f(n-1) * n

Step-by-step explanation:

(a) This is a sequence of consecutive number

n^{th} = n

f(1) = 1

f(n) = f(n-1) + 1

(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number

n^{th} = 2^{n-1}

f(1) = 1

f(n) = f(n-1) * 2

(c) This is factorial sequence. Where the next number is this number multiplied by n^{th}

n^{th} = n!

f(1) = 1

f(n) = f(n-1) * n

You might be interested in
Samantha is studying the population growth of an endangered birth. The growth can be modeled by the equation B(t) 100 + 3/5t^5 ,
solong [7]

The value of the population of the growth of an endangered birth after 5 years is 1975

<h3>How to determine the population after 5 years?</h3>

The population function is given as:

B(t) = 100 + 3/5t^5

At 5 years, the value of t is 5

So, we have

t = 5

Next, we substitute 5 for t in the equation B(t) = 100 + 3/5t^5

This gives

B(5) = 100 + 3/5 * 5^5

Evaluate the exponent

B(5) = 100 + 3/5 * 3125

Evaluate the product

B(5) = 100 + 1875

Evaluate the sum

B(5) = 1975

Hence, the value of the population of the growth of an endangered birth after 5 years is 1975

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

4 0
1 year ago
5x-8= 1/3 (6x+12)-3x<br><br> a) -1<br> b) -12/5<br> c)10/3<br> d) 2
chubhunter [2.5K]

Answer:

c

you have to do whatever is in the pertussis

5 0
3 years ago
Someone help please
ratelena [41]

Answer:

77

Step-by-step explanation:

HAV A GREAT DAY hope this helps

4 0
3 years ago
Please answer thanks. Come on its 30 points
VashaNatasha [74]
Be right there! Let's do this!
3 0
3 years ago
Read 2 more answers
A bank loaned out ​$19,000​, part of it at the rate of 9 % per year and the rest at 19 % per year. If the interest received in o
VMariaS [17]

Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out ​$19,000​, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled ​$2500. It means that

0.09x + 0.19y = 2500- - - - - - - - - 1

Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

1710 - 19000y + 0.19y = 2500

- 0.09y + 0.19y = 2500 - 1710

- 0.1y = - 790

y = - 790/- 0.1

y = $7900

x = 19000 - y = 19000 - 7900

x = $11100

7 0
3 years ago
Other questions:
  • Let x represent any number in the set of even integers greater than 1. Which inequality is true for all values of x?
    11·2 answers
  • A geometric sequence is shown on the graph below. What is the formula for the nth term of the sequence?
    9·1 answer
  • 33. What values of the constants a, b, and c make the ellipse
    12·1 answer
  • Kate build a garden box with four sides if two sets of parallel sides. Which of the following shape could her garden not be
    15·1 answer
  • Solve this problem <br><br>........... ​
    10·1 answer
  • Read the information in the box below.
    7·1 answer
  • What is YZ to the nearest tenth?A scalene triangle XYZ is given. The length between XZ is 14 and XY is 12. The angle YXZ is 98 d
    5·2 answers
  • The function f(x) = -(x + 5)(x + 1) is shown.
    10·1 answer
  • 5. State the missing reasons in this proof.
    8·1 answer
  • Simplify radicals please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!