Ratio + geometric progression - practice problems
Number of problems found: 19
- The 8th
The 8th term of GP is greater than the 5th term, and the 10th term is 10 times the 2nd term find: 1) the common ratio 2) 20th term - Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence. - The sum 27
The sum of a geometric progression's second and third terms is six times the fourth term. Find the two possible values of the common ratio. - GP - ratio
What is the common ratio of -8,40,-200,1000,-5000 (geometric sequence)?
- In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms - The sum 21
The sum of a geometric progression's 2nd and 3rd terms is six times the 4th term. Find the two possible values of the common ratio B. If the second term is eight, the common ratio is positive. Find the first six terms. - 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 it can manufacture for the next ten years. To encourage capital investments, the government exempts taxes on - What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - 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? - 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 area of the original square is the area of the cut part? - Geometric progression 4
There is number sequence: 8,4√2,4,2√2 Prove that the sequence is geometric. Find the common ratio and the following three members. - Determine 3810
Determine the ratio of the first and second GP members if q = -0.3 and a3 = 5.4. - Series
Andrew wrote this series of numbers: 1,3,7,15, ...., n. Which number in the series does not belong? ...
- Geometric sequence 5
About members of the geometric sequence, we know: 3 a5:a3 = 27:25 7 a3 +5 a7 = 1 : 564 Calculate a1 (first member) and q (common ratio or q-coefficient) - Sequence
Find the common ratio of the sequence -1, 3, -9, 27, -81. Please ratio writes as a decimal number rounded to a tenth. - Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next square, circle, and so on to infinity. Calculate the sum of the area of all these squares. - Wood in the forest
The amount of wood in the forest was estimated at 6000 m³. How much wood will be in the forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m³ each year? - Profitable bank deposit 2012
Calculate the value of what money lost creditor with a deposit € 5200 for 5 years if the entire duration is interesting 3% p.a. and tax on interest is 19%. Annual inflation is 4.4% (Calculate what you will lose if you leave money lying idle at negative in
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