Arithmetic progression - practice problems - page 9 of 21
Number of problems found: 413
- Common difference
The 4th term of an arithmetic progression is 6. Find the common difference if the sum of the 8th and 9th terms is -72. - Annual increase
The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%. - Statistical 36383
On the pages of the Czech Statistical Office, we can learn that in 1869, Prague and its suburbs had a total of 10,947 houses; in 1900, there were 18,838 houses. What was the annual percentage "increase" of houses in Prague between 1869 and 1900, assuming - Six terms GP
Find the sum of the six terms of the finite geometric sequence 96, -48, 24, -12 - Decreasing 36183
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing. - Harmonic mean
If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5. - Harmonic series
Insert four members between 5/3 and 5/11 to form a harmonic series (means). - Insert 7
Insert five harmonic means between 3 and 18 - Insert four Insert four harmonic means between 3/7 and 3/19
- Insert 5
Insert five harmonic means between 1/2 and 1/26 - HP - harmonic progression 2 Compute the 16th term of the HP if the 6th and 11th terms of the harmonic progression are 10 and 18, respectively.
- HP - harmonic progression
Determine the 10th term of the harmonic progression 6,4,3,… - HP - harmonic progression
Determine the 8th term of the harmonic progression 2, 4/3, 1,… - Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°. - Present value A bank loans a family $90,000 at a 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over 15 years. How much should the monthly payment be in order to pay off the debt in 15 years?
- Future value
Suppose you invested $1000 per quarter over 15 years. If money earns an annual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earned? - Andrew
Andrew had an offer for a job starting at 100000 per year and guaranteeing her to raise 10000 a year for the next years. Find her salary for the 4th year. - Sum 1-6 Find the sum of the geometric progression 3, 15, 75,… to six terms.
- What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - Find next member Find x if the numbers from a GP are 7, 49, and x.
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