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
SVEN [57.7K]
3 years ago
7

Write a recursive formula for the sequence below. Use the variable "n" for your formula in your answer.

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0

Answer:

\begin{cases}a_1 = 2\\\\a_{n} = -4*a_{n-1}\end{cases}

============================================

Explanation:

The first line of the answer says "the first term is 2".

The second line says "take any term and multiply by -4 to get the next term".

The a_n represents the nth term while a_{n-1} is the term just before it.

The second line shown above is the same as writing a_{n+1} = -4*a_n

---------------

The -4 is found by dividing any term over its previous one

-8/2 = -4

32/(-8) = -4

-128/32 = -4

512/(-128) = -4

This shows the common ratio is -4 and this sequence is geometric.

Anika [276]3 years ago
5 0
What huh who?








how do u know huh?
You might be interested in
if it takes anne 1/2 hour to read 2/3 of a chapter. About how long will it take her to read a chapter?​
kolbaska11 [484]

Answer:

45 minutes

Step-by-step explanation:

1/2 hour=30 minutes

2/3 of chapter=30 minutes

1/4 of hour=15 minutes

1/3 of chapter=15 minutes

3/4 of hour=45 minutes

3/3 of chapter=45 minutes

6 0
3 years ago
Help quick please with explain
Paul [167]

Answer:

20= v+9+( -16 )

20= v-( 7 )

27= v

Step-by-step explanation:

Adding a negative is the sane as subtracting. Add like terms. Add 7 to both sides. 27= v

8 0
2 years ago
Write and simplify an expression for the area of the rectangle. Write the SIMPLIFIED answer in the text box.
Ganezh [65]

Answer:

gff

Step-by-step explanation:

rwsnuggdfvg

3 0
3 years ago
Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3|
Fynjy0 [20]

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

5 0
3 years ago
What is 32/48 in SIMPLEST form? PLEASE EXPLAIN THOROUGLY!
kari74 [83]
Hi There!

<span>What is 32/48 in SIMPLEST form?

</span>32÷16=2
48÷16=3

<span>So the answer is </span><span>2/3</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which is bigger one-third of 18 or three-fourths of 20?
    7·2 answers
  • Evaluate the expression using x = –1 and y=3. (6x4y3) What is the value of the expression? –162 –54 162 216
    7·2 answers
  • Hiw many 2/3 are in 2 1/3​
    12·2 answers
  • What is the smallest integer that is 100 times the sum of its digits?
    10·1 answer
  • From least to greatest...can someone help me figure this out?? <br> 3 9/13, 3 4/15, 3 1/7
    14·2 answers
  • How do I do this? please help me
    15·1 answer
  • Please help, I’ll mark who’s ever right the Brainiest
    7·2 answers
  • This is for someone that i was suppost to give brainliest to lol
    14·1 answer
  • PLEASE HELP ME!!! ILL GIVE BRAINLIEST TO RIGHT ANSWER
    13·1 answer
  • Pls if u don’t know the answer don’t answer it for points I need real help
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!