Arithmetic progression - math word problems - page 19 of 22

Number of problems found: 423

Cinema 4
In the cinema, there are 1656 seats; in the last row, there are 105 seats; in each next row, there are 3 fewer seats. 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
Difference AP
Calculate the difference of arithmetic progression if the sum of its first 10 members Sn = 1325 and the first member is a₁ = 20
Cinema
How many 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 more seats than the previous row? How many seats are in the stands?
Miraculous tree
The miraculous tree grows so fast that the first day increases its height by half the total height of the second day by the third, the third day by a quarter, etc. How many times will it increase its height after 6 days?
The city 2
Today lives 298000 citizens in the city. How many citizens can we expect in 8 years if their annual increase is 2.4%?
Tenth member
Calculate the tenth member of the geometric sequence when given: a₁=1/2 and q=2
Saving per cents
On the first day, I saved 1 cent, and I saved a cent more every following day. How much do I save in one year (365 days)?
Geometric sequence
In the geometric sequence, is a₄ = 20 a₉ = -160. Calculate the first member a₁ and quotient q.
Mushrooms
For five days, we collected 410 mushrooms. Interestingly, we collected ten mushrooms more every day than the preceding day. How many mushrooms have we collected during the 4th day?
Piano
If Suzan practices 10 minutes on Monday, every other day, she wants to practice two times as much as the previous day. How many hours and minutes will she have to practice on Friday?
Series
Ondrej wrote this series of numbers: 1,3,7,15, .... n. Which number from the set 2047, 1021, 511, 255, 63 does not belong to his series?
Five members
Write the first five members of the geometric sequence and determine whether it is increasing or decreasing: a₁ = 3 q = -2
The city
At the end of 2010, the city had 248000 residents. The population increased by 2.5% each year. What is the population at the end of 2013?
Computer
The school purchased the computer 10000. The price of a computer always depreciates the same percentage as the previous year. After four years, the value of the computer is reduced to 1300. How much percent was the declining price of the computer each yea
Loan
Apply for a $ 15000 loan, the loan repayment period is 6 years, and the interest rate 2.8%. How much should I pay monthly (or yearly if paid yearly)? An example is for practice geometric progression and/or periodic payment for an annuity.
UV radiation
The glass of 1 mm thickness absorbs 5.3% of UV radiation passing through. How many percent of UV rays absorb glass with a thickness of 2.3 cm, made from 1 mm thick those glasses?
Geometric sequence 4
It is given geometric sequence a₃ = 7 and a₁₂ = 3. Calculate s₂₃ (= sum of the first 23 members of the sequence).
Workman - shift
The worker produces 300 components per shift. If his performance gradually increased by 3 components every shift, how many components would be produced in the 18 shifts?
Hot air balloon
A hot air balloon ascends 25 meters for a minute after launch. Every minute, it ascends 75 percent of the height it climbed in the previous minute. a) How many meters will ascend six minutes after takeoff? b) What is the overall height of the 10 minutes a

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