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
blsea [12.9K]
3 years ago
11

If tn = 4n+1, find t1, t2, t3, and tn+1. Express tn+1−tn in its simplest form.

Mathematics
1 answer:
Doss [256]3 years ago
3 0

Answer:

t_1=5

t_2=9

t_3=13

t_{n+1}-t_n=4

Step-by-step explanation:

We have that:

t_n=4n+1

When we substitute n=1, we get:

t_1=4*1+1=5

When we substitute n=2 we get:

t_2=4*2+1=9

When we substitute n=3, we get:

t_3=4*3+1=13

When we substitute n=n+1, we get:

t_{n+1}=4*(n+1)+1=4n+5

Now

t_{n+1}-t_n=4n+5-(4n+1)

We expand and simplify to obtain:

t_{n+1}-t_n=4n+5-4n-1

t_{n+1}-t_n=4

You might be interested in
Math question help me
JulsSmile [24]

Answer:

3 grams

Step-by-step explanation:

on the left side there is 3 circles and every circle is 3 grams, so there is 9 grams plus 6 squares for 2 grams its 12 . 9+12 =21 and two triangles with x mass

on the right side there is 2 circles , 2×3 = 6, and 3 squares, 3×2 = 6. 6+6=12 +5x

both sides are equal so we have

21+2x=12+5x

21-12=5x-2x

9=3x

x=3

6 0
3 years ago
X+10=1/3(5x+10)<br><br> How do you solve this equation?
Nikitich [7]

Answer:

x = 10

Step-by-step explanation:

First, subtract 10 from both sides

Next, Simplify

Then, subtract 5/3x from both sides

After, simplify


Lastly, multiply both sides by 3


Then finally simplify for your final answer of x = 10


Hope this helps! :)

3 0
2 years ago
Read 2 more answers
- Rick has only 2 hour and 44 minutes until he needs to leave. He wants to watch a movie that goes
Lisa [10]

Answer:

No he does not

Step-by-step explanation:

158 / 60 = 2.63

which is about a 3 hour long movie.

7 0
3 years ago
Explain why 100 4tens and 14 they'd name the same
Levart [38]
I don't understand what your asking
8 0
3 years ago
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
m_a_m_a [10]

Answer:

Required volume is \frac{4864\pi}{3} unit.

Step-by-step explanation:

Given equations of curves,

y=32-x^2, y=x^2

substitute second in first we will get,

x^2=36-x^2\implies x^2=16\implies x=\pm 4

When x=4, y=16 and x=-4, y=16. Thus both curves intersect at the points (4,16),(-4,16). And thus -4.

Considering width of the representative rectangle as \Delta x which is parallel to x-axis because of considering cylindrical shell. Therefore volume of the shell is given by,

V_{Shell}=(\textit{Length of box})\times (\textit{Width of box})\times (\textit{Thikness of box})

Now,

Length of generating box=Length of \Delta x from line x=4(axis of revolution)=circumference of the shell=(4-x)

Width of box=(36-x^2)-x^2

Hence,

V_{Shell}

=\int_{-4}^{4}2\pi (4-x)(36-2x^2)dx

=2\pi\int_{-4}^{4}(144-36x-8x^2+2x^3)dx

=2\pi\{144\big[x\big]_{-4}^{4}-18\big[x^2\big]_{-4}^{4}-\frac{8}{3}\big[x^3\big]_{-4}^{4}+\frac{1}{2}\big[x^4\big]_{-4}^{4}\}

=\frac{4864\pi}{3}

which is required volume of generating area.

3 0
3 years ago
Other questions:
  • What is 2 times 3 hfhh
    8·2 answers
  • Nikos sold muffins at his club's bake sale.he spent $28.50 on supplies. he sold his muffins for $0.75 each, and made a profit of
    8·1 answer
  • How do you know a quadratic function has exactly one zero?
    8·1 answer
  • Can any one tell me if this is correct or is it translation
    10·2 answers
  • Which is a monthly recurring cost associated with renting a house?
    6·1 answer
  • 5/6×-4=-2 solve the equation
    12·1 answer
  • Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200t
    11·1 answer
  • Wich box is greater, a 1.5- pound box of raisins or a 650-gram box of rocks?
    11·2 answers
  • Identify the solutions to the quadratic equation.
    15·1 answer
  • Need help with this math urgently
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!