Geometric progression - practice problems - page 3 of 14
Number of problems found: 280
- Arithmetic geometric sequence
Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half. - Geometric series terms
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence. - Geometric sequence quotient Determine the quotient of the geometric sequence with the first term a1=36 so that s2 is less than or equal to 252.
- Population annual decrease
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage? - The sum 27
The sum of a geometric progression's second and third terms is six times the fourth term. Find the two possible values of the common ratio. - Sequence term count How many terms does the sequence have if a1=4, Sn=589, d=3, n=?
- The sequence
Find the nth term of the progression 2,6,12,20... - GEOMETRIC MEANS alternating
Find the indicated number of geometric means between the pair of numbers. -32 and 4 [insert 2 means] Sequence:-32, _, _, 4 - FINDING GEOMETRIC MEANS Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81]
- Find k Find k so that the terms k-3, k+1, and 4k-2 form a geometric sequence. Show your solution.
- What is 21 What is the next number? What is the 7th number? 160, 80, 40, 20, 10, _
- Parabolic sequence Find the sum of the first nine terms of an arithmetic sequence whose general term is a(n) = 3n²+5
- Sequence:
Sequence: 4,10,40,400,16,000,______, ________ Find these two members. - GP - ratio
What is the common ratio of -8,40,-200,1000,-5000 (geometric sequence)? - The terms The terms 1/64, 1/32, and 1/16 form a geometric progression (GP). If the sum of the GP is (2³6 – 2-6), find the number of terms.
- Shopping mall
A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10 percent more than the day before. What is the total number of shoppers that visited the mall in the first seven days? Round yo - Deposit for house
The current house price is $300000, with prices increasing by 3% yearly. A buyer wishes to purchase the house in 5 years. The bank requires a 10%deposit on the price of the house in order to grant a loan. How much would the buyer need to deposit each quar - Mr. Cruz Mr. Cruz borrowed 21,600 euros for three years at 16 2⁄3% compounded annually. At the same time, Mr. Santos borrowed the same Amount at Simple Interest for the same period and at the same interest rate. Who Pays more and how much?
- Monthly savings account I will deposit CZK 1,500 into my savings account every month. After ten years, what will be in the account if the interest rate is 4%, the interest period is one month, and the interest tax is 15%?
- An account
Seth has $9,399 in an account. The interest rate is 4 17/20% compounded annually. To the nearest cent, how much will he have in 2 years?
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