# Geometric progression + arithmetic progression - math problems

#### Number of problems found: 85

- Monthly payments 2

Suppose you have selected a new car to purchase for $19,500. If the car can be financed over a period of 4 years at an annual rate of 6.9% compounded monthly, how much will your monthly payments be? - Insert

Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence. - Covid-19 spread

A Street has 13 houses in a row. Some resident sin 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 2 can get infected in only one way, house - GP - sequence

The first three terms of a geometric sequence are as follows 10, 30. 90, find the next two terms of this sequence. - 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 that a couple invested Php 50 000 in an account when their child was born, to prepare for the child's 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 - Sequences AP + GP

The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, from the second 4 and keep the third, we get the geometric sequence. Find AP and GP members. - Annual growth

The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%? - 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%. - Find the 21

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 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over a 15 year period. 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 a 15 years period. If money earns an anual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earn? - 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 common ratio r =1/2? - Find next member

Find x if the numbers from a GP 7, 49, x. - Missing term 2

What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875? - If the 3

If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r. - Hiking trip

Rosie went on a hiking trip. The first day she walked 18kilometers. Each day since she walked 90 percent of what she walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Round your final answer to the nearest ki - The half life

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after 3 half-lives? - Half of halves

Half of the square we cut off, then half of the rest, etc. Five cuts we made in this way. What part of the content of the original square is the content of the cut part?

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Geometric progression - math problems. Arithmetic progression - math problems.