Arithmetic progression - math word problems - page 12 of 22

Number of problems found: 423

Pilsen Region
Between 2000 and 2001, 14 per mille of the population decreased in the Pilsen Region. In 2000, the Pilsen Region had 551281 inhabitants. If the declining trend continues the same (i.e., 14 per mille of inhabitants per year), how many inhabitants will the
AM of three numbers
The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers.
Sit-ups
Walter strengthens for eight weeks. In the first week, he did five sit-ups a day. He did one more per day every week than in the previous week. How many sit-ups has Walter made?
The sum
The sum of the first ten members of the arithmetic sequence is 120. What will be the sum if the difference is reduced by 2?
The king
The king divided ducats among his sons. He gave the eldest son a certain number of ducats, gave the younger one ducat less, gave the other one ducat less, and proceeded to the youngest. Then he returned to his eldest son, gave him one ducat less than a wh
Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms.
Six speeds
A drilling machine is to have six speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values.
Pine's forest
There were so many pines in the forest that they were sequentially numbered 1, 2, 3,..., and would use three times more digits than the pine trees alone. How many pine trees were there in the forest?
Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers.
Investment 2
Jack invested $5000 in a 5-month term deposit at 4.7% pa. At the end of the five months, Jack reinvested the maturity value from the first deposit into an 11-month term deposit at 7.3% pa. What is the maturity value at the end of the second term deposit?
Number Sequence Pattern
Determine which number belongs instead of the question mark 25 -? - 205 - 610 -1825
Bonuses
Five company employees were paid bonuses, so each successor received 550 USD less than the previous employee. If a total of USD 11,000 was paid, how much did everyone get?
Curiosity factor
A blogger starts a new website. Initially, the number of visitors was 293. The owner estimated that traffic would increase by 2.6% per week. What will the number of visitors be in week 5?
Well digging cost
Mr. Peter needs to dig a 20m deep well on his property. The AZET company charges 1 euro for the first meter and 2x more for each subsequent meter. The ZETA company charges 200 euros for each meter of well depth. Which company should Mr. Peter choose if he
Odd number sum
Calculate the sum of all 4-digit odd natural numbers.
The machine
The annual depreciation of the machine is 10%. After eight years, the machine is worth 697 euros. What was the price of this machine at the time of purchase?
Loan 5
Abdul takes a loan of 200000 from Ali and agrees to repay in several installments. Each installment begins with the 2nd, exceeding the previous one by 1000. If the first installment is 500, find how many installments will be necessary to be wiped out of t
Natural number sum
The sum of three natural numbers is 204. Each of them is five greater than the previous one. What are the numbers?
Profit growth
A company's profit increased by 25% during 1992, increased by 40% during 1993, decreased by 20% in 1994, and increased by 10% during 1995. Find the average growth in the profit level over the four years.
Seed germination
Seed germination is 80%. 8% of the germinated plants subsequently die. How many seeds does a gardener have to sow in order to grow 2,000 plants?

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