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
r-ruslan [8.4K]
3 years ago
13

For the following​ sequence, determine if it is an arithmetic​sequence, a geometric​ sequence, or neither. If it is either arith

metic or​ geometric, give the next term in the sequence.
5​, 8​,13​, 21​, 34​, 55,...
Mathematics
1 answer:
uysha [10]3 years ago
4 0

Answer: An arithmetic sequence is of the form:

aₙ = a₀ + (n -1)*d

So the difference between a term and the nextone is always the same, and in our case the numbers are 5,8,13,21,34,55.

The distance between the numbers is not constant, so this is not a arithmetic sequence.

a geometric sequence is of the form: aₙ = a*rⁿ

So the therms grow exponentially.

here a₀ = a*r⁰ = a = 5.

a₁ = a*r¹ = 5*r = 13, then r = 13/5 = 2.6

a₂ = a*r² = 5*2.6*2.6 = 33.8, so here we can see that this is not our series, so our series isn't geometric.

So the answer for the first part is neither.

Now, the sequence is  5,8,13,21,34,55, ...

you can see that

5 + 8 = 13

13 + 8 = 21,

21 + 34 = 55

So our sequence is of the form: aₙ = aₙ₋₁ + aₙ₋₂.

then, the next term will be: 55 + 21= 76.

You might be interested in
What is the y-value of the solution to the system of equations? 3x + 5y = 1 7x + 4y = −13
brilliants [131]
3x + 5y = 1 . . . . . . . . (1)
7x + 4y = -13 . . . . . . .(2)
(1) x 7: 21x + 35y = 7 . . (3)
(2) x 3: 21x + 12y = -39 .(4)
(3) - (4) = 23y = 46
y = 46/23 = 2
6 0
2 years ago
You can buy DVDs at a local store for 15.59 each. You can buy them at on online store for 13.99 each plus $6 shipping. How many
dalvyx [7]
Local(L) = 1 x (15.99)
Online(O) = (1 x 13.99) + 6

So use that equation until you find the same number.

L1=15.99
O1=19.99

L2=31.98
O2=33.98

L3=47.97
O3=47.97

And your answer will be three from local and three from online.
8 0
3 years ago
4^338^37 / 4^158^21 A. 4^18 8^16 B. 8^48 16^58 C. 16^18 64^16 4^18 8^58
Rainbow [258]
If the problem is supposed to read (4^33*8^37)/(4^15*8^21), then...

(4^33*8^37)/(4^15*8^21) = (4^33/4^15)*(8^37/8^21)
(4^33*8^37)/(4^15*8^21) = 4^(33-15)*8^(37-21)
(4^33*8^37)/(4^15*8^21) = 4^18*8^16

Answer: Choice A) 4^18*8^16

6 0
3 years ago
Which is equivalent to (4xy – 3z)2, and what type of special product is it?
Semmy [17]
The last choice is right sure because this is a perfect square trinomial

(4xy -3z)^2 = 16x^2y^2 -24xyz +9z^2

hope this will help you 
5 0
2 years ago
Read 2 more answers
If P (A)=0.84, P(B)=0.76 AND P(A OR B) =0.9, THEN P (A and B)=0.7
STatiana [176]
Sorry i tried to figure it out but i could not seem to get the answer. :(
4 0
2 years ago
Other questions:
  • 5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of
    7·1 answer
  • Help plz!!!!!!!!!!!!!
    12·1 answer
  • Five Card Draw is one of most basic forms of poker, and it's the kind of poker you're used to seeing in movies and on TV. This g
    11·1 answer
  • ) Simplify the expression.
    7·1 answer
  • Factor 8 (y-3) - 3y (y-3)
    6·1 answer
  • HELP
    9·2 answers
  • Rectangle with a length of 96 inches and width of 60 inches. A rug maker wants to increase each dimension by a different amount.
    13·1 answer
  • The mean of five numbers is 6 the median is 7 and the mode is 2. What is the answer?
    13·1 answer
  • GIVING AWAY FREE ROBL0X ACCOUNT WITH R0BUX
    15·2 answers
  • What did the wall say to the bookcase 4. 2 puzzle time answers.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!