Seven numbers

Write seven 4-digit numbers that are divisible by 3 and at the same time by 4.

Correct answer:

a₁ =  1008
a₂ =  1020
a₃ =  1032
a₄ =  1044
a₅ =  1056
a₆ =  1068
a₇ =  1080

Step-by-step explanation:

$$\begin{gathered} 3\mathrm{.}\mathrm{.}\mathrm{.}\text{ prime number } \\ 4=2^2 \\ LCM(3,4)=2^2\cdot 3=12 \\ d=LCM(3,4)=12 \\ b=1000\mathrm{/}d=1000\mathrm{/}12={\displaystyle \frac{250}{3}}=83\frac{1}{3}\doteq 83.3333 \\ {b}_1=\lceil b\rceil =\lceil 83.3333\rceil =84 \\ {a}_1=b_1\cdot d=84\cdot 12=1008 \end{gathered}$$

$a_2=a_1+d=1008+12=1020$

$a_3=a_2+d=1020+12=1032$

$a_4=a_3+d=1032+12=1044$

$a_5=a_4+d=1044+12=1056$

$a_6=a_5+d=1056+12=1068$

$a_7=a_6+d=1068+12=1080$

Try another example

Related math problems and questions:

• Three friends
  Three friends had balls in ratio 2: 7: 4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together.
• Divisible by nine
  How many three-digit natural numbers in total are divisible without a remainder by the number 9?
• Common divisors
  Find all common divisors of numbers 30 and 45.
• Three lines
  At 6 am, three bus lines are departing from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as t
• LCD 2
  The least common denominator of 2/5, 1/2, and 3/4
• Lcm 2
  Create the smallest possible number that is divisible by numbers 5,8,9,4,3
• Divisible by four
  Are 240 divisible by 4?
• Florist
  Florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses?
• Groups
  In the 6th class there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group?
• Decompose
  Decompose into primes and find the smallest common multiple n of (16,20) and the largest common divisor D of the pair of numbers (140,100)
• Quotient
  Find quotient before the bracket - the largest divisor 51 a + 34 b + 68 121y-99z-33
• Sports students
  There are 120 athletes, 48 volleyball players, and 72 handball players at the school with extended sports training. Is it possible to divide sports students into groups so that the number in each group is the same and expressed by the largest possible num
• Trees in alley
  There are four trees in the alley between which the distances are 35m, 15m and 95m. Trees must be laid in the spaces so that the distance is the same and the maximum. How many trees will they put in and what will be the distance between them?
• What is 13
  What is the number between 50 and 55 that is divisible by 2,3,6,9?
• Five-digit number
  Anna thinks of a five-digit number that is not divisible by three or four. If he increments each digit by one, it gets a five-digit number that is divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it sw
• School books
  At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom?
• Tissues
  The store got three kinds of tissues - 132 children, 156 women and 204 men. Tissues each species were packed into boxes after the number of pieces the same for all three types (and greatest). Determine the number, if you know that every box has more than