Arithmetic progression - examples
Determine the number of all positive integers less than 2937474 if each is divisible by 11, 23, 17. What is its sum?
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
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?
In the arithmetic sequence is a1=-9, d=4. Which member is equal to the number 147?
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.
- Octahedron - sum
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.
- AVG of INT
What is the average of the integers from 7 throuht 15 inclusive?
Cinema auditorium is built for 3591 people. The first row is planned for 39 seats and each next gradually 3 more. How many rows of seats will have auditorium?
In how many points will intersect 11 different lines, where no two are parallel?
- Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=69°. What sizes have other angles in a triangle?
In the arithmetic sequence is given: Sn=182, d=5, an=62 Calculate a1 and n.
Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
Help little C.F. Gauss sum all the integers from 1 to 340.
Write the first 7 members of an arithmetic sequence: a1=8, d=-9.
- Workman - shift
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?
- Sequence 2
Write the first 4 members of an arithmetic sequence a5=-18, d=-7
- Sequence 3
Write the first 5 members of an arithmetic sequence: a7=-51, a17=-121.
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?
Iron tubes in the warehouse are stored in layers so that each tube top layer fit into the gaps of the lower layer. How many layers are needed to deposit 56 tubes if top layer has 5 tubes? How many tubes are in bottom layer of tubes?
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)?