Geometric progression - practice problems
Number of problems found: 135
- GP sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =?, q =?
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =?
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 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 block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
- 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 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