Arithmetic progression - math word problems - page 11 of 21
Number of problems found: 404
- Calculate 22653
The first term is 5 in a geometric sequence, and the quotient is 4. Calculate the 4th, 6th, and 10th members of this sequence.
- Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua
- Five element
The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S6 = 63. Find the fifth element a5.
- Substitution 19793
Calculate in arithmetic sequence a1, d, s7, if: a1 + a4 + a6 = 71 a5 - a3 - a2 = 2 Hint: Use the substitution method when solving the system. Pay due attention to the "minus" signs in the second equation of the system.
- Sum of the seventeen numbers
The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones.
- Outermost 19403
Twenty young saplings are planted in a row at a distance of 4.5 meters from each other. There is a well by one of the outermost trees. How many meters do we walk when watering trees if we use two watering cans and one is enough to water two trees?
- Removed 17713
The miner removed 135 carts of coal in 5 days so that the next day he removed three carts of coal more. How many carts did he drive on the first day?
- Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p?
- Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double?
- Pilsen circus
A city citizen saw the circus's arrival in Pilsen in the morning at 08:00. He passed this information at 08:15 to three other city residents. Each of these three people then informed the other three residents at 08:30, and again at 08:45, they reported th
- 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
Vojta 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 Vojta 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?
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