Arithmetic progression + addition - practice problems
Number of problems found: 44
- AP members
Insert as many arithmetic sequence members between numbers 1 and 53 that the sum is 702.
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =?
- Recurrence relation
Consider a recurrence relation an = 3an-1 - 3an-2 for n = 1,2,3,4,… with initial conditions a1 = 4 and a2 = 2. Calculate a5.
- In the
In the arithmetic sequence a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170?
- Saving in January
On the 1st of January a students puts $10 in a box. On the 2nd she puts $20 in the box, and so on, putting the same number of 10-dollers notes as the day of the month. How much money will be in the box if she keeps doing this for a the first 10 days of Ja
Calculate the sum of all three-digit natural numbers divisible by five.
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from the
- Common difference
The 4th term of an arithmetic progression is 6. If the sum of the 8th and 9th terms is -72, find the common difference.
- Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence, and the smallest angle is 70°.
- Sum 1-6
Find the sum of the geometric progression 3, 15, 75,… to six terms.
- Insert 4
Insert three arithmetic means between 3 and 63.
- A ladder
The bottom rung of a ladder is 36 inches long and the topmost rung is 24 inches long. If the ladder has 18 rungs, how many inches each other rung is shorter than the rung below it. How many feet of wood was used in making the rungs?
- Sum of odd numbers
Find the sum of all odd integers from 13 to 781.
- 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?
- Sum of the seventeen numbers
The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones.
Vojta strengthens for 8 weeks. In the first week he did 5 sit-ups a day. Every next week he did 1 more per day than in the previous week. How many sit-ups has Vojta made?
- The sum
The sum of the first 10 members of the arithmetic sequence is 120. What will be the sum if the difference is reduced by 2?
- Pine's forest
There were so many pines in the forest that they were sequentially numbered 1, 2, 3,..., would use three times more digits than the pine trees alone. How many pine trees were there in the forest?
Five employees of the company were paid bonuses so that each successor received 550 USD less than the previous employee. How much did everyone get if a total of USD 11,000 has paid?
Arithmetic progression - practice problems. Addition practice problems.