# Geometric progression - high school - practice problems

#### Number of problems found: 125

- Finite geometric sequence

Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =? - Members

A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has even index) has a value of 42. Find these members. - Seventh term

The first term of a geometric sequence is 9 and the third term is 1296. Find the seventh term. - 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. - Straight-line depreciation

Olsen Inc. Purchased a $580,000 machine to manufacture a specialty tap for electrical equipment. The tap is in high demand and Olsen can sell all that it could manufacture for the next 10 years. To encourage capital investments, the government exempts tax - Railways 3

Railway Corporation wants to purchase a new machine for $360,000. Management predicts that the machine can produce sales of $220,000 each year for the next 5 years. Expenses are expected to include direct materials, direct labor, and factory overhead (exc - 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. - Two geometric progressions

Insert several numbers between numbers 6 and 384 so that they form with the given GP numbers and that the following applies: a) the sum of all numbers is 510 And for another GP to apply: b) the sum of entered numbers is -132 (These are two different geome - Five years

Nakato Nobuki, a Japanese artist, wants to have $24,000.00 in his savings account at the end of five years. Mr. Nobuki deposits $1,500.00 annually into savings and has a balance of $8,000.00 today. What must the interest rate on the savings account be for - 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 - Annual interest

A loan of 10 000 euro is to be repaid in annual payments over 10 years. Assuming a fixed 10% annual interest rate compounded annually, calculate: (a) the amount of each annual repayment (b) the total interest paid. - 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? - Savings

Suppose on your 21st birthday you begin making monthly payments of $500 into an account that pays 8% compounded monthly. If you continue the payments until your 51st birthday (30 years), How much money is in your account? How much of it is interesting? Sh - 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?

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Geometric progression - practice problems. Examples for secondary school students.