Arithmetic progression - math word problems - page 13 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
- 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. - Sequence 11
What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5 ...? - Arithmetic progression
In some arithmetic progression applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d =.
Your class will invent an original tableau pyramid from photos. What minimum dimensions will it have to have if you want to place 50 9x13 photos there? You want a classic pyramid, i.e., Each next row is one photo-less, but in the last row, two photos (theDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
