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
Lisa [10]
2 years ago
12

Write the first five terms of a sequence. Don’t make your sequence too simple. Write both an explicit formula and a recursive fo

rmula for a general term in the sequence. Explain in detail how you found both formulas.
Mathematics
2 answers:
Virty [35]2 years ago
7 0

Answer:

Let the first five terms of a sequence be, 4,8,12,20,24

Ok, let me explain the meaning of term explicit and Recursive formula.

Explicit formula ,is the general formula to find any  term of the sequence.

And, Recursive formula, is the method by which, we can find the nth term of the sequence if (n-1)th term of the sequence is known.

So,the explicit formula for the sequence is,

y = 4 n, where , n is any natural number.

And the recursive formula is .

y = 4 (n-1), with the help of (n-1)th term we can find nth term.

First term =4=4 × 1

Second term =8 =4 × 2

Third term =12=4×3

Fourth term =16 =4 × 4

.....................

...........................

.................................

(n-1) th term =4 × (n-1)

nth term =4 × n

Applying the simple procedure by looking at the first , second and the way the next term goes , the general and recursive formula is obtained.

As, you said you don't want simpler sequence

Consider the first five terms of the sequence, 0, 3,8,15, 24.

Explicit formula =n² + 2 n

Recursive formula=(n-1)²+2(n-1)

If,you will look at the sequence, it is neither Arithmetic nor geometric .

First term =0=0²+0×0

Second term =3=1+2=1²+2 × 1

Third term =8=4+4=2²+2×2

Fourth term =15=9+6=3²+2×3

Fifth term =24=16 +8=4²+2×4

So, Explicit formula= n²+ 2 n, where n is a whole number.

Valentin [98]2 years ago
6 0

Answer: The answer is 5, 10, 20, 40 and 80.

Step-by-step explanation:  We are to write the first five terms of a sequence, along with the explicit and recursive formula for the general term of the sequence.

Let the first five terms of a sequence be  5, 10, 20, 40 and 80. These terms are taken from a geometric sequence with first term a_1 5 and common ratio r=2.

Therefore, we have

a_2=a_1\times r,\\\\a_3=a_2\times r,\ldots

Therefore, the recursive formula is

a_{n+1}=2a_n,~~a_1=5.

And explicit formula is

a_n=a_1r^{n-1}.

You might be interested in
Why doesn't anybody help me!!! Please answer this question!!
Vinvika [58]

Answer:

So The sides of the rectangle are 15 and 6

8 0
2 years ago
5) February is a busy time at Charlie's Chocolate Shoppe! During the week before Valentine's Day, Charlie advertises that his ch
Zolol [24]

Answer:

a) C(n) = 450+0.60n where n

b) R(n) = 1.80n where n

c) P(n) = - 450 +1.20n

Step-by-step explanation:

Sale price of chocolates = $1.80 per chocolate

Fixed cost for the Chocolate Shoppe per week = $450

Cost to produce one chocolate = $0.60

Cost to produce n chocolates = $0.60\times n

a) Cost function to represent the total cost for the production of n chocolates :

C(n) = 450+0.60n where n

b) Revenue function to represent the revenue from the sale of n chocolates:

R(n) = 1.80n where n

c) Profit function to represent Charlie's profit from selling n chocolates:

Profit is nothing but revenue minus sales.

P(n) = R(n) - C(n) \\P(n) = 1.80n - 450 -0.60n\\P(n) = - 450 +1.20n

3 0
2 years ago
Hii whats your name heehee
Roman55 [17]

Answer:

Kimberly

Step-by-step explanation:

My mother gave me the name

5 0
2 years ago
Ten balls numbered from 1 to 10 are placed in a bag.
zheka24 [161]

Answer:

There is nothing shown below and what are you asking

Step-by-step explanation:

5 0
3 years ago
Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on t
Yanka [14]
So u will do 88+84=172+88=260+91=351 and that is all four tests added up now u have to divide the answer by 4 because it was four tests averages
351/4=87.75 wich is aproxamately 88 
so with all four of them added wich is 351 u will add the answer choices so 351+96=447/5=89.4 wich is aproxamately 89
351+97=448/5=89.6 wich is aproxamately 90
351+98=449/5=89.8 wich is aproxamately 90
351+99=450/5=90
so i would say that 99 points is the one she needs to score because it isnt asking for aproxamately 
so it is 99 points
6 0
2 years ago
Read 2 more answers
Other questions:
  • Help please. My teacher didn't give a clear explication on this topic.
    13·1 answer
  • A department store sells a pair of shoes with an 87% markup. If the store bought the pair of shoes for $55.25, what is the selli
    7·1 answer
  • You sell bobble heads online. You need to pay $120 to get the web space and website name. You pay $12 for each bobble head. You
    10·1 answer
  • 2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle? Show an equation to solve
    10·2 answers
  • What are the coordinates of the vertex of y = –x2 – 12x – 32?
    6·1 answer
  • Find the value of a.<br> a(x+3)&lt;5x+15-x<br> a=
    5·1 answer
  • Find the missing exponent: 5^11/5?=5^4
    9·1 answer
  • If the human heart beats an average of 62 beats in a minute, how many times will it beat in 291 minutes? A 17,942 B 18,042 229 3
    10·2 answers
  • The graph below represents the distribution of scores on a placement test for students at Central High School. Select the statem
    6·2 answers
  • Find the volume and the surface area of the shape
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!