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
alexira [117]
4 years ago
6

What is the sum of the multiples of 6 between 6 and 999?

Mathematics
1 answer:
riadik2000 [5.3K]4 years ago
8 0
Your method is completely correct. The first term will be 6 and each subsequent term can be obtained by adding 6 to the previous one, meaning the common difference is 6. The number of terms is given by the highest number that is divisible by 6 and dividing it by 6; that is 996/6 = 166
Then we simply apply the formula for arithmetic sequence sum:
S = n/2 [2a₁ + (n - 1)d]
S = 166/2 [ 2(6) + (166 - 1)6]
S = 83,166
You might be interested in
It took James 5h to paint an 8ft by 24ft wall. At this rate, how long would it take him to paint a 12ft by 36ft wall
olasank [31]
8 * 24 feet = 192 sq feet per 5 hours

12* 36 = 432 square feet

432 is 2.25 times the area of 192 square feet

So, it takes 5 * 2.25 = 11.25 hours


7 0
3 years ago
At Rose State College Allison Wells received the following grades her accounting class 93, 60, 78, 89 ,78 and 82 Allison's instr
Lunna [17]

so you drop the 60.
93 + 78 + 89 + 78 + 82 = 420
420 \div 5 = 84

so the answer is 84
7 0
3 years ago
A train covers a distance of 80 miles in 2 hours. At this rate, about how many hours will it take to cover a distance of 200 mil
Vadim26 [7]
Let's write miles over hours
80 / 2 = 200/ x
cross multiply
80x = 400
divide both sides by 80
x = 5

It will take 5 hours to cover 200 miles

Hope this helps :)
6 0
3 years ago
Cos(x+y)/cos(x)sin(y)=cot(y)-tan(x)
zhuklara [117]
So there is an identity we'll need to use to solve this:

cos(x+y) = cosxcosy - sinxsiny

replace the numerator with the right hand side of that identity and we get:

(cosxcosy - sinxsiny)/cosxsiny

Separate the numerator into 2 fractions and we get:

cosxcosycosxsiny- sinxsiny/cosxsiny

the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:

cosy/siny - sinx/cosx

which simplifies to:

coty - tanx




7 0
3 years ago
What is true about the interior and exterior angle measures of any triangle
elena-s [515]
Interior angles of a triangle=180
Exterior angles = 360
6 0
4 years ago
Other questions:
  • 1. Mary has a mass of 40 kg and sprints at 1 m/s. How much kinetic energy does she have?
    13·1 answer
  • Simplify the linear expressions:<br>1: 2x + 3 - 5x + 7<br>2: 3y - 15 - 7y + 19
    10·1 answer
  • Need answers . Please help solve .
    8·2 answers
  • When Milo buys an order of copper, he pays $45 for the first pound and $42 for each additional
    11·1 answer
  • What is the reference angle for 11pi/6? Explain your thinking.
    14·1 answer
  • Write a recursive definition for the sequence 21,16,11,6
    5·1 answer
  • What is the solution to the equation 3 + 4/4y = 4?
    9·1 answer
  • This is my last page could really use some help thank you
    8·1 answer
  • Given that f(x) = x² +8x+3 and g(x) = -x-7, which of the following is true?
    7·1 answer
  • Mr. Wright has 25 students in his class. More than half of the students
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!