Equation + arithmetic progression - practice problems - last page
Number of problems found: 119
- Fifth member
Determine the fifth member of the arithmetic progression if the sum of the second and fifth members equals 73 and the difference d = 7. - Chocholate pyramid
How many chocolates are on the third shelf when on the 8th shelf are 41 chocolates on any other shelf? Are seven chocolates more than the previous shelf? - Chairs
Determine the number of seats in the seventh and ninth rows if the 3rd row has 14 seats and every next row has five more than the previous row. - Subsequent 3312
We have to distribute the amount of 1200 euros to the five successful solvers of the Olympics so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get?
- Trees
A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall. - AP 6
Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38 - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - Cans
How many cans must be put in the bottom row if we want 182 cans arranged in 13 rows above so that each subsequent row has always been one in less? How many cans will be in the top row? - Cinema 4
In the cinema are 1656 seats and in the last row are 105 seats, in each next row 3 seats less. How many are the total rows in the cinema?
- To the cinema
Jane at 8 AM got a message that all 1093 school pupils would go to the cinema. Within 20 min she said it to the three friends. Each of them again for 20 minutes said to the other three. In this way, the message spread further. At what time do all the scho - Geometric sequence
In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - Tubes
Iron tubes in the warehouse are stored in layers so that each tube's top layer fits into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if the top layer has 9 tubes? How many tubes are in the bottom layer of tubes? - Geometric sequence 3
In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q, and n - number of members by their sum s_n. - Sequence
The arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n.
- n-gon
Gabo draws 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? - Cinema
The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium? - Sequence
In the arithmetic sequence, is a1=-1, d=4. Which member is equal to the number 203? - Ravens
The tale of the Seven Ravens was seven brothers, each of whom was born exactly 2.5 years after the previous one when the eldest of the brothers was 2-times older than the youngest, mother all curse. How old were seven ravens brothers when their mother cur - Crystal
The crystal grows every month 1.2 permille of its mass. How many months to develop a crystal from weight 177 g to 384 g?
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