Arithmetic progression - math word problems - page 10 of 20
Arithmetic Progression is just a sequence of numbers so that the common difference of any two consecutive numbers is a constant value.Formula for n-th member is:
an=a1+(n−1)⋅d
Sum of n AP members:
sn=n⋅2a1+an
Number of problems found: 394
- In the 8
In the A. P. 36, 39, 42, …, which term is 276?
- 15th term of AP
What is the 15th term; x1=1.5, d=4.5?
- 10th term
What is the 10th term of the Arithmetic Progression if x1=4 and d=5?
- The ages
The ages of the four sons make an arithmetic sequence, the sum of which is the father's age today. In three years, the father's age will be the sum of the ages of the three eldest sons, and in the next two and three months, the father's age will be the su
- Hiking trip
Rosie went on a hiking trip. On the first day, she walked 18 kilometers. Each day since she walked 90 percent of what she had walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Please round your final answer t
- 1 page
One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book?
- Finite arithmetic sequence
How many numbers should be inserted between the numbers 1 and 25 so that all numbers create a finite arithmetic sequence and that the sum of all members of this group is 117?
- Calculated 25171
Peter trains for a half marathon every day. He ran 1,000m on the first day and increased the training length by 250m daily. On a certain day, Peter ran 21 km in training. That day, he calculated the total distance he had run since the start of training. H
- The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after three half-lives?
- Half of halves
We cut half of the square off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part?
- Entrepreneur 22941
Entrepreneur Zahourek deposited 450,000 into the bank's account with 4.5% annual interest. Calculate the amount on the deposit account after three years.
- 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?
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