Arithmetic progression - examples
Write the first 7 members of an arithmetic sequence: a1=8, d=-9.
Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
- 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.
- Sequence 2
Write the first 4 members of an arithmetic sequence a15=-24, d=-2
In the arithmetic sequence is a1=-9, d=4. Which member is equal to the number 147?
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.
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
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.
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?
- 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.
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?
- 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.
- 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?
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?
- 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?
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
How many rows of seats are in the stands, if you know that the first row has 24 seats and the last 50 seats and each subsequent row has two seats more than row before? How many seats are in the stands?