Arithmetic progression - math word problems - page 13 of 20
Number of problems found: 396
- Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees.
- Digits
If x, y and z are three consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, and z.
- Geometric progression 4
There is a number sequence: 8,4,√2,4,2√2 Prove that the sequence is geometric. Find the common ratio and the following three members.
- The sum 2
The sum of five consecutive even integers is 150. Find the largest of the five integers. A.28 B.30 C.34 D.54 Show your solution and explain your answer.
- Subsequent 6477
We will put 900 bags in nine rows, with five fewer in each subsequent one. How many are in the first place?
- Depreciate 6413
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach
- Following 6367
Uncle Rudolf weaves baskets, which he then sells in the market. On Monday, he knitted 7 baskets; he worked one more every other day than the previous day. How many times more baskets did he knit by the following Monday dinner, compared to the first day, i
- Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
- Consecutive 6174
Find three consecutive integers whose sum is -693.
- Simple sequence
Continue with this series of numbers: 1792,448, 112, _, _
- Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
- Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years?
- According 5963
The numbers are arranged according to a specific logical order. What number should be in the blank a, b? 3, 7, 15, a, 63, 127, b
- Difference 5867
Calculate the value of the first term and the difference in the arithmetic sequence a1 + a7 = 42 a10-a3 = 21
- Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm.
- Sequence 5535
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93.
- Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest?
- Difference 5222
Determine the difference and the first term of AP if a3 + a4 = 48, a7 = 80.
- Odd numbers
The sum of four consecutive odd numbers is 1048. Find those numbers.
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