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
Ne4ueva [31]
3 years ago
12

a sequence of numbers begins at 400. If the pattern increases by consecutive multiples of 5 starting with 5, then find the next

3 numbers in the sequence 400, ___, ___, ___, ...
Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Given :

A sequence of numbers begins at 400.

To Find :

If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .

Solution :

This is the a question of arithmetic progression .

The first term is , a = 400 .

Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .

So , common difference is , d = 5 .

Now , we know , n^{th} number in A.P is given by :

a_n=a+(n-1)d

Putting value of n = 2 , 3 , 4 .

We get :

a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415

Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .

Hence , this is the required solution .

You might be interested in
7t=x,for t .what is the formula
Andrei [34K]

The formula for t would be x/7.

In order to find this, we simply follow the order of operations to solve for t.

7t = x ----> Divide both sides by 7

t = x/7

6 0
3 years ago
I need help with this, I've never really understood linear stuff.
KonstantinChe [14]

You have several possible points (x,y). Any point that lies on the given line will have a y value that you obtain by plugging in the corresponding value of x into the equation of the line.

The line has equation y=-3x+7, so any point on the line will have the form (x,-3x+7).

Among the four given points, there are only 2 different values of x to check. We have

x=4\implies y=-3(4)+7=-12+7=-5

x=1\implies y=-3(1)+7=-3+7=4

which means the given line contains the points (4, -5) and (1, 4). So the answer is A.

4 0
3 years ago
Read 2 more answers
What is the domain of f(x) = 3 square root x?
Vedmedyk [2.9K]
Whole numbers if I remember correctly!
4 0
3 years ago
Read 2 more answers
What is -945 x -56? i will mark brainliest if its right!
Korolek [52]

Answer:

52,920

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
a stop light has the following cycle green for 50 seconds yellow for 4 seconds and red for 62 seconds if you arrive at the light
Alecsey [184]

Answer:

the road user will have to wait for more than 4 seconds 17times

Step-by-step explanation

The red signal is for stop and the probability of it happening is 1/3 for the first time.

For 50 times it will be (1/3)× 50 = 16.666667

Hence the road user will have to wait for more than 4 seconds 17times

7 0
3 years ago
Other questions:
  • What is, one- two thirds to the 3rd power
    15·1 answer
  • Can anyone tell me if this is 50 or 64 please
    12·1 answer
  • A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3
    12·1 answer
  • Solution for (x − 3)(x − 5) = 35
    10·1 answer
  • Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.
    10·2 answers
  • The difference 3 1/2 minus 1 1/2 must be<br> between and
    11·1 answer
  • the shop keeper at an inn receives 175 letters a week (7 days). How many letters does he receive in a day
    9·2 answers
  • A company’s mean salary is $65,000 with a standard deviation of $6,000. What is the probability that an employee makes between $
    14·1 answer
  • You are part of a rowing team. Every 1, miles you stop to take a drink of water. How many times will you stop to drink water if
    6·2 answers
  • What is the slope of the line that passes through the points (1, -7) and (1, 13)?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!