Arithmetic progression - math word problems - page 14 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
- Arithmetic 4955
Cans are stored in n-layers above each other according to the arithmetic sequence. There are 37 cans in the tenth layer and a total of 190 cans in all ten layers. How many cans are in the first layer? b) total in all n layers c) express the given sequence
- Handmade baskets
The worker knits the baskets, which are then sold in the market. He made seven baskets on Monday, one more each day than the previous day. How many times more baskets did he make untill the following Monday evening compared to the first day when he did no
- Rope
How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and a length of 350 mm (the central mandrel has a diameter of 50 mm)?
- Have solution
The sum of four consecutive even numbers is 92. Determine these numbers.
- Real estate
The residential house has three entrances numbered by odd numbers in arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers.
- Cells - guts
Guts (a single-celled organism) under ideal conditions divides into two littles every 27 hours on average. How many would there be in 7 days if all the childs remained alive?
- Seamstress' 4608
The seamstress' earnings in the last three months of the year are always 20 percent higher than the previous month. She earned a total of CZK 65,520 between October and December. How much CZK did you make in October?
- Arithmetic 4495
Insert as many members of the arithmetic sequence between the numbers 8 and 20 that their sum is 196.
- Sequence 4378
Find out the other three members of the sequence and write their sum: 1,29,2,28,3,27,
- Probably member
Look at the series 2,6,25,96,285, ? What number should come next?
- Intensity 4244
The light beam loses 1/12 of its intensity as it passes through the glass plate. What will the beam's intensity be after passing through a ten times stronger plate?
- Difference AP 4
Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
- Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al
- Consecutive 4122
The sum of four consecutive natural numbers is 90. Determine these numbers.
- Determine 4113
Determine the sum of an infinite series: 1/3 + 1/9 + 1/27 + 1/81 ...
- Difference 4086
Find the difference AP if a1 = -1.5 and a2 + a3 = 2.7.
- Enthusiasts 4032
There are 147 students in seven years at the wizarding academy. Enthusiasts for magic are increasing, so since 2006, they have accepted two more students each year than the previous year. How many students do they have in their first year?
- Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions.
- Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
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