answer.
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
Sever21 [200]
2 years ago
14

) What is the difference between a sequence and a series? A sequence is an ordered list of numbers whereas a series is an unorde

red list of numbers. A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers. A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers. (b) What is a convergent series? What is a divergent series? A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent. A series is divergent if the sequence of partial sums is a convergent sequence. A series is convergent if it is not divergent. A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent. A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent.
Mathematics
1 answer:
vivado [14]2 years ago
7 0

Answer:

a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers; b) A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists.

Step-by-step explanation:

A sequence is a pattern; it is an ordered list of numbers.  A series, however, is the sum of a sequence.

A convergent series is a series for which the sequence of its partial sums tends to a limit; this means the limit exists.  A divergent series is a series that is not convergent.

You might be interested in
A circle has a circumference of 153.86153.86153, point, 86 units.
mariarad [96]
Answer=24.49 I’m not 100% sure but I believe this is the answer :)
Hope it helps
3 0
2 years ago
Read 2 more answers
If p is a polynomial show that lim x→ap(x)=p(a
Lostsunrise [7]

Let p(x) be a polynomial, and suppose that a is any real number. Prove that

lim x→a p(x) = p(a) .

 

Solution. Notice that

 

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

= 2|x|^3 + 5|x|^2 + |x| + 2

< 2(2)^3 + 5(2)^2 + (2) + 2

= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0
2 years ago
The original price p of an item less a discount of 15%
Snowcat [4.5K]
P-.15p this is the expression for cost after discount

and its just .15p for just the discount

7 0
2 years ago
Read 2 more answers
Question 1 (1 point) The yearly interest payable on a deposit of $250 at 5.5% p.a. simple interest is: A $137.50 B $13.75 C $12.
dlinn [17]

Answer:

B: $13.75

Step-by-step explanation:

5.5% of $250 = $13.75

Therefore, the simple interest is $13.75.

6 0
1 year ago
A group of people are spinning a spinner that is separated into eight equal parts. Group One spins the spinner eight times. Grou
algol13

if the number of times spun is not a multiple of 8, it is impossible to land on an exactly even distribution for this spinner. But since the probabilities of landing on an exactly even distribution are so small, that detail doesn't perturb the overall trend, except perhaps down at n=8 spins So group 3

6 0
2 years ago
Other questions:
  • Henry is at the end of a three-year lease for his car. his leasing company says that his car is currently worth $12,780, a 72% r
    12·2 answers
  • What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
    14·2 answers
  • A 10K run is 10 kilometers long. If 1 meter = 1.094 yards, use dimensional analysis to find the length of the race in miles. (Hi
    5·2 answers
  • A nurse is preparing to administer dextrose 5% water (D5W) 250 ml IV to infuse over 2 hr. The nurse should set the IV pump to de
    5·1 answer
  • Phil sold pizza at the carnival for $1.75 a slice or $9.50 for a whole pizza he sold 76 slices of pizza and 64 whole pizzas he g
    9·1 answer
  • Write a verbal expression for 4m2+2
    12·2 answers
  • Suppose S is a recursively defined set, defined by the number 1 is in S if n is in S, then so is 3n+2 - if n is in S, then so is
    11·1 answer
  • Mr. Chiro drew a design for an outdoor kitchen. The food prep area will be on a rectangular platform made of concrete that is 5
    11·1 answer
  • If there are 2.2 pounds in 1 kilogram how many pounds are there in x kilograms?
    13·1 answer
  • A deli has a special one-day event to celebrate its anniversary. On the day of the event, every eighth customer receives a free
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!