Arithmetic progression + geometric progression - practice problems - page 3 of 8
Number of problems found: 148
- Covid-19 spread
A Street has 13 houses in a row. Some residents in the first house tested positive for Covid-19. The virus spreads in 2 ways: It can spread to the next house or jump directly to the third house. Residents of house two can get infected in only one way, hou - GP - sequence
The first three terms of a geometric sequence are as follows 10, 30, 90. Find the next two terms of this sequence. - Equation 46771
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers - Continuation 46483
Continuation of the number series 9,12,18,27
- Regularly 46301
Mišo will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - The town
The town population is 56000. It is decreasing by 2% every year. What will be the population of the town after 13 years? - Saving for education
Suppose a couple invested Php 50 000 in an account when their child was born to prepare for a college education. If the average interest rate is 4.4% compounded annually, a, Give an exponential model for the situation b, Will the money be doubled by the t - Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, the second 4, and keep the third, we get the geometric series. Find AP and GP members. - Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in%.
- Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - 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 - 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? - 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. - Missing term 2
What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875?
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