# Arithmetic progression - examples

- Numbers

Determine the number of all positive integers less than 2937474 if each is divisible by 11, 23, 17. What is its sum? - Ravens

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 - 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. - n-gon

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? - Sequence

In the arithmetic sequence is a_{1}=-9, d=4. Which member is equal to the number 147? - Mailbox

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. - AVG of INT

What is the average of the integers from 7 throuht 15 inclusive? - 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? - Lines

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? - Series

Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ? - Sequence

In the arithmetic sequence is given: S_{n}=182, d=5, a_{n}=62 Calculate a_{1}and n. - Gauss

Help little C.F. Gauss sum all the integers from 1 to 340. - 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

Write the first 7 members of an arithmetic sequence: a_{1}=8, d=-9. - Rope

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)? - Sequence 2

Write the first 4 members of an arithmetic sequence a_{5}=-18, d=-7 - Angle in RT

Determine the size of the smallest internal angle of a right triangle whose sides constitutes sizes consecutive members of arithmetic progressions. - Sequence 3

Write the first 5 members of an arithmetic sequence: a_{7}=-51, a_{17}=-121. - 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

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