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
snow_tiger [21]
2 years ago
15

Can you please help me with this.

Mathematics
2 answers:
Genrish500 [490]2 years ago
8 0

Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

a_n=a_1+d(n-1)  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

a_n=2+3(n-1) which simplifies to

a_n=2+3n-3 and a bit more to

a_n=3n-1 (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

a_{13}=3(13)-1 so

a_{13}=38

kipiarov [429]2 years ago
3 0

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

You might be interested in
Water flows from a spigot at a rate of 1.6 gallons per minute. How long will it take to fill a 4-gallon bucket?,
lys-0071 [83]

Answer:

Step-by-step explanation:

Given

Rate of flow = 1.6gallons per minute

Amount of gallon bucket = 4gallons

Required

Time taken to fill 4gallon bucket

Rate = Amount of gallon/Time

Time = Amount of gallon/Rate

Time = 4/1.6

Time = 2.5

Hence it will make 2.5minutes to fill 4gallon bucket

3 0
3 years ago
What is the difference? -6-(11) -17 -5 5 17
Aleonysh [2.5K]

Answer:

-61

Step-by-step explanation:

If the question written above is

-6-11-17-5-5-17

Then the answer is -61

But if the question is

-6-11-17-5517 then the answer is

-5551

6 0
2 years ago
2) The sum of three consecutive multiples of 6 is 162. Find the multiples.
Andru [333]

Answer:

48, 54 and 60

Step-by-step explanation:

Let the three multiples be 6x, 6(x+1) and 6(x+2) respectively.

6x+6(x+1)+6(x+2)=162

6x+6x+6+6x+12=162

18x=144

x=8

Therefore, the three multiples are 6(8), 6(8+1) and 6(8+2)

i.e. 48, 54 and 60

7 0
2 years ago
Please give me the explanation so I KNOW that it's right? Thanks.
MrMuchimi

Answer:

its A, B, C or D

Step-by-step explanation:

it has to be one of them.

5 0
3 years ago
Tan(60)x 20<br> please hurry!!
lana [24]

Answer:

6.4008

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • An airplane flies with a constant speed of 920 km/h. How far can it travel and 4 hours 12 minutes?​
    7·1 answer
  • 5/8-1/4 as a fraction
    12·2 answers
  • A1 be the event that the receiver functions properly throughout the warranty period, A2 be the event that the speakers function
    7·1 answer
  • How to write 999,858,411
    14·1 answer
  • How do you do number 8?? Please help
    6·1 answer
  • Which graph represents an increasing function?
    6·1 answer
  • Which situation could best be represented by this linear equation?
    5·2 answers
  • Evaluate the expression z+4/3x when x=2
    6·1 answer
  • help help help help math math
    15·1 answer
  • Jenifer is buying popcorn and sodas with her friends at the movies. They can carry at most 9 items. They want at least 4 sodas a
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!