Arithmetic progression - examples

  1. Numbers
    ten Determine the number of all positive integers less than 2937474 if each is divisible by 11, 23, 17. What is its sum?
  2. Ravens
    krkavec The tale of the Seven Ravens were seven brothers, each of whom was born exactly 1.5 years after the previous one. When the eldest of the brothers was 4-times older than the youngest, mother all curse. How old was seven ravens brothers when their mother cur
  3. n-gon
    ngon_1 Gabo draw n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
  4. Sequence
    arithmetic_seq In the arithmetic sequence is a1=-9, d=4. Which member is equal to the number 147?
  5. Octahedron - sum
    8sten On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7 and 8, wherein on different sides are different numbers. For each wall John make the sum of the numbers written of three adjacent walls. Thus got eight sums, which also.
  6. Mailbox
    post Mailbox is opening at regular intervals 3 times a day. The first time is opened at 6:00 and the last at 16:00. Calculate hours when mailbox is opened during day.
  7. AVG of INT
    seq_moon What is the average of the integers from 7 throuht 15 inclusive?
  8. Cinema
    cinema Cinema auditorium is built for 1740 people. The first row is planned for 29 seats and each next gradually 2 more. How many rows of seats will have auditorium?
  9. Lines
    lines_1 In how many points will intersect 11 different lines, where no two are parallel?
  10. Angles in a triangle
    fun The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=69°. What sizes have other angles in a triangle?
  11. Sequence
    Quadratic_equation In the arithmetic sequence is given: Sn=182, d=5, an=62 Calculate a1 and n.
  12. Series
    posloupnost_an Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
  13. Gauss
    kfgauss Help little C.F. Gauss sum all the integers from 1 to 340.
  14. Sequence
    a_sequence Write the first 7 members of an arithmetic sequence: a1=8, d=-9.
  15. Workman - shift
    favorit_skoda The worker produces 300 components per shift. How many components would be produced in 18 shift, if his performance gradually increased every shift by 3 components?
  16. Sequence 2
    seq2 Write the first 4 members of an arithmetic sequence a5=-18, d=-7
  17. Sequence 3
    75 Write the first 5 members of an arithmetic sequence: a7=-51, a17=-121.
  18. Rope
    navijak How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and length 350 mm (central mandrel have a diameter 50 mm)?
  19. Mine
    bana What is temperature in the mine at a depth of 1575 m, where at depth 30 m is 16°C and every 30 m, the temperature increases by 0.8°C?
  20. Angle in RT
    triangles_10 Determine the size of the smallest internal angle of a right triangle whose sides constitutes sizes consecutive members of arithmetic progressions.

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