Arithmetic progression - math word problems - page 13 of 21

Number of problems found: 406

Restriction 7442
The figure shows two rows of hexagonal boxes that continue to the right without restriction. Fill in one field with one positive integer so that the product of the numbers in any three adjacent fields is 2018. Determine the number that will be in the top
Needs
Hanka needs 40,000 € to buy an apartment. She can save or pay 300 € each month. The interest rate on deposits is 2%, the monthly deposit is 300 €, the state bonus is 8.5% of the deposit, and the interest rate on the loan is 2.9%. She will be in the saving
Microorganisms
The first generation of microorganisms has a population of 13500 members. Each subsequent generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation.
AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area?
Tickets
On Monday, the cinema sold 33 tickets. Every next day, twice as many as the previous day. How many tickets were sold on Friday, and how many totals from Monday to Friday?
Progression
-12, 60, -300,1500 need the next 2 numbers of pattern
Toys 3
Tiffany's toyshop received a shipment of 360 toys. On the first day, 12 were sold the second day, 19 were sold; and on the third day, 26 were sold. How many days will the toyshop run out of toys?
Nineteenth member
Find the nineteenth member of the arithmetic sequence: a1=33 d=5 find a19
Equation 6738
Solve the given equation in the set N: 1 - x + x² - x³ + x⁴ - x⁵ +…. + = 1/3
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?

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