# Geometric progression - math word problems - page 12 of 13

#### Number of problems found: 254

- Geometric sequence 5

About members of the geometric sequence, we know: 3 a_{5}:a_{3}= 27:25 7 a_{3}+5 a_{7}= 1 : 564 Calculate a_{1}(first member) and q (common ratio or q-coefficient) - 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 a_{3}= 7 and a_{12}= 3. Calculate s_{23}(= sum of the first 23 members of the sequence). - Bank

Paul put 10000 in the bank for 6 years. Calculate how much you will have in the bank if he does not pick earned interest or change deposit conditions. The annual interest rate is 3.5%, and the tax on interest is 10%. - 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.

- Population

The town has 159,000 inhabitants. 25 years ago, there were 158,000. How many people will live in a city in 10 years if the population's average rate is as in previous years? - Deposit

If you deposit 719 euros at the beginning of each year, how much money do we have at 1.3% (compound) interest after 9 years? - Future of libraries

You know that thanks to the Internet, electronic communications and the development of online resources on the Internet annually decline, the number of traditional readership by 17%. This deal is the irreversible evolutionary shift from old books from lib - Fraction

Fraction frac(0, overline(38))(0,38) write as fraction a/b, a, b is integers numerator/denominator. - Sale

If the product was twice price cut by 25%, what percentage was the price cut in total?

- JUDr. Usury

Judge JUDr. Usury approved the agreement on guilt and punishment were confessed to paying daily interest 0.18%. How big is a yearly interest? The year has 360 days. - Sum of series

Determine the 6-th member and the sum of a geometric series: 5-4/1+16/5-64/25+256/125-1024/625+.... - Machine

The price of the new machine is € 65000. Every year is depreciated 12% of residual value. What will be the value of the machine after 2 years? - Geometric sequence 3

In geometric sequence is a_{4}= 40; a_{9}= 1280; s_{n}=2555. Calculate the first item a_{1}, quotient q, and n - number of members by their sum s_n. - Ray

Light ray loses 1/14 of brightness passing through a glass plate. What is the brightness of the ray after passing through 10 identical plates?

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