Arithmetic progression - examples
- Handmade baskets
Worker knits the baskets which then sells in the market. He maked seven baskets on Monday and one more each day than he did in the previous day. How many times more baskets did he make till the following Monday evening compared to the first day when he di
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)?
Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
Write the first 7 members of an arithmetic sequence: a1=8, d=-9.
- AVG of INT
What is the average of the integers from 7 throuht 15 inclusive?
- Sequence 3
Write the first 5 members of an arithmetic sequence: a7=-51, a17=-121.
In the arithmetic sequence is a1=-9, d=4. Which member is equal to the number 147?
- Sequence 2
Write the first 4 members of an arithmetic sequence a15=-24, d=-2
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
Help little C.F. Gauss sum all the integers from 1 to 340.
Between numbers 2 and 78 insert n members of the arithmetic sequence that its sum is 600.
- 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.
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?
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.
In how many points will intersect 11 different lines, where no two are parallel?
Tiles are stacked in rows on the trapezoidal shaped roof. At the ridge is 15 tiles and each subsequent row has one more tile than in the previous row. How many tiled is covered roof if lowermost row has 40 tiles?
Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
- AS sequence
In an arithmetic sequence is given the difference d = -2 and a78 = 518. a) Determine the value of a67 b) Determine the sum of 78 members.
- 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?
- 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?