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
rusak2 [61]
3 years ago
14

Find the 100th term to 1,3,9,27​

Mathematics
1 answer:
shusha [124]3 years ago
6 0

Answer:

The n-th term of this sequence appears to be

3

n

−

1

,

n

≥

1

.

Step-by-step explanation:

These are powers of

3

ordered from

3

0

=

1

to

3

a

(for an integer

a

≥

1

). However, the first convenient value for

n

is

1

, not

0

(imagine saying the 0th term of a sequence). Because of that, since the first term is actually

3

0

, we need to start from the first term (

n

=

1

) being

3

1

−

1

. The next is

3

2

−

1

,

3

3

−

1

...

3

n

−

1

.

You might be interested in
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What
Anna35 [415]

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

3 0
3 years ago
-5: -2; 1;<br><br>write the next 3 terms​
Nataly_w [17]

Answer:

Next 3 of the sequence are 4, 7, 10

You are adding by 3.

-2 - -5= 3

-2 + 3=1

1+3=4

4+3=7

7+3=10

5 0
3 years ago
You and your friend collect football cards. You tell your friend that you have 3 times the number of cards he has. Your friend r
fiasKO [112]
Easy I guess ..
I ll try to help ..
Here we go ..
The cards you have is N
The cards he has is n
<span>you have 3 times the number of cards he has
This means N=3n
</span><span> you only have 80 more football cards then he does
This means N=n+80
But we already know that N=3n
So 3n=n+80
which is 2n=80
n=40
So your friend has only 40 cards and you have 3*40= 120 cards

Best luck

Wise</span>
4 0
4 years ago
The sales-tax rate was 8%.Benito bought a model train for $8.29. How much was the tax on the train?
astraxan [27]
T= 8/100 × $8.29

t= $66.32/100

t= $0.66 rounded to the nearest penny
6 0
3 years ago
You have the first season of your favorite television show on a set of DVDs. The set
Misha Larkins [42]

Answer: There are 45 combinations.

Step-by-step explanation:

If the order in which you watch the episodes does not matter, then we can use the combinatory defined as:

If we have N elements, and we want to make groups of K elements, we have

C(N,K) = \frac{N!}{(N-K)!*K!}

combinations.

In this case, we have a total of N = 10 episodes, and we want to make groups of  K = 2.

Then we have:

C = (10, 2) = \frac{10!}{8!*2!} = (10*9)/(2) = 5*9 = 45

There are 45 combinations.

8 0
4 years ago
Other questions:
  • What is the absolute value of the complex number -4 -√2i ?
    14·2 answers
  • A candy dispenser has 20 golden wrapped chocolate balls, 25 green hard candies and 30 pink gumballs. What is the least number of
    14·1 answer
  • Maryanne sells cruise vacations. She makes a base salary of $2,500 per month plus 5% of the cost of each vacation. This month sh
    8·1 answer
  • Students receive 25% off the regular ticket prices at schitterbahn. if the discounted ticket is $44.25, write an equation that c
    13·1 answer
  • How does the parametric form help solve qx + rx = s for x ?
    6·1 answer
  • Write the slope-intercept form of the equation of each line.
    11·1 answer
  • If a cone has a height 6 feet and volume 54ft, find the radius of the base
    12·1 answer
  • Norma's retirement party will cost $24 if she invites 12 guests. If there are 13 guests, how much will Norma's retirement party
    10·2 answers
  • 50 POINTS!!!!! please help me!!!
    12·2 answers
  • SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours. What is the hourly rate Br
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!