Geometric progression - practice problems - page 6 of 13
Number of problems found: 259
- Diameter 36363
With a single pull, the wire diameter is reduced by 10%. How many draws are required to minimize the wire diameter from 5 mm to less than half?
- Six terms GP
Find the sum of the six terms of the finite geometric sequence 96, -48, 24, -12
- Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence.
- 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?
- 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? S
- 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?
- Beginning 34991
At the beginning of the year, the company had CZK 5,000,000 in its account. He has the money saved at a 16% interest rate. How much was the interest for the first year? How much was the interest for the second year?
- Retirement annuity
How much will it cost to purchase a two-level retirement annuity that will pay $2000 at the end of every month for the first ten years and $3000 per month for the next 15 years? Assume that the payment represents a rate of return to the person receiving t
- Sum 1-6
Find the sum of the geometric progression 3, 15, 75,… to six terms.
- Sum of GP members
Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)?
- What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2?
- Terms of GP
What is the 6th term of the GP 9, 81, 729,. ..?
- GP- first term
Find the 1st term of the GP ___, -6, 18, -54.
- What are 2
What are the two more terms of the GP (geometric progression) a, ax, ax², ax³, __, __?
- 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?
- Geometric progression
If the 6th term of a GP is four and the 10th is 4/81, find common ratio r.
- Common ratio
If 200 units of a commodity are consumed in the first year, and if the annual rate of increase in consumption is 5% (a) what amount is consumed in the 8th year; (b) in the first 15 years?
- Fly and cyclist
Two cyclists are 20 km apart on the same line. They start at the same time as each other at a speed of 10 km/hr. A fly sitting on one of the cyclist's handles starts flying toward the other cyclists at a speed of 20 km/hr. It touches the handle and moves
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