Arithmetic progression - math word problems - page 17 of 19
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: 377
- Cinema
How many rows of seats are in the stands if you know that the first row has 24 seats and the last 50 seats, and each subsequent row has two more seats than the row before? How many seats are in the stands? - Miraculous tree
The miraculous tree grows so fast that the first day increases its height by half the total height of the second day by the third, the third day by a quarter, etc. How many times will it increase its height after 6 days? - The city 2
Today lives 298000 citizens in the city. How many citizens can we expect in 8 years if their annual increase is 2.4%? - Tenth member
Calculate the tenth member of the geometric sequence when given: a1=1/2 and q=2
- Saving per cents
The first day I saved 1 cent and every following day a cent more. How many do I save in one year (365 days)? - Geometric sequence
In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - Piano
If Suzan practices 10 minutes on Monday, every other day, she wants to practice two times as much as the previous day. How many hours and minutes will she have to practice on Friday? - Series
Andrew wrote this series of numbers: 1,3,7,15, ...., n. Which number in the series does not belong? ... - Five members
Write the first five members of the geometric sequence and determine whether it is increasing or decreasing: a1 = 3 q = -2
- The city
At the end of 2010, the city had 248000 residents. The population increased by 2.5% each year. What is the population at the end of 2013? - Computer
The school purchased the computer 10000. Each year, the price of a computer always depreciates the same percentage as the previous year. After four years, the value of the computer is reduced to 1300. How much percent was the declining price of the comput - Loan
Apply for a $ 15000 loan, the loan repayment period is 6 years, and the interest rate 2.8%. How much should I pay monthly (or yearly if paid yearly)? An example is for practice geometric progression and/or periodic payment for an annuity. - UV radiation
The glass of 1 mm thickness absorbs 5.3% of UV radiation passing through. How many percent of UV rays absorb glass with a thickness of 2.3 cm, made from 1 mm thick those glasses? - Geometric sequence 4
It is given geometric sequence a3 = 7 and a12 = 3. Calculate s23 (= sum of the first 23 members of the sequence).
- Workman - shift
The worker produces 300 components per shift. How many components would be produced in the 18 shifts if his performance gradually increased every shift by 3 components? - Hot air balloon
A hot air balloon ascends 25 meters up for a minute after launch. Every minute ascends 75 percent of the height, which climbed in the previous minute. a) how many meters ascend six minutes after takeoff? b) what is the overall height 10 minutes after laun - Sequence
Find the common ratio of the sequence -1, 3, -9, 27, -81. Please ratio writes as a decimal number rounded to a tenth. - Decimal to fraction
Write the decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures. - AS sequence
In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
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