Geometric progression - practice problems - page 2 of 13
Number of problems found: 259
- Calculate 82845
Calculate the sum of the first 9 terms of the geometric sequence if a3 equals 2 and a4 equals 8.
- Robinson 82579
Robinson Crusoe came to the island with 4 grains of corn. How many years did it take him to grow enough grain for bread if he got 10 grains from one grain on average and he needed at least 1kg of bole for 1 bread, and 1 grain weighs about 0.2g? (assume on
- Saving problem
We want to save €25,000. We deposit €3,000 annually, and the interest is 4.4% (interest tax is 19%). How many years do we have to save?
- Increases 81991
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours?
- Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120
- Triangular 81985
Trainees stand on the marks in rows exactly 1.5 m apart. They form an expanding triangular wedge (in each subsequent row, there is one more exerciser), while the distance between the front exerciser and the back row is 30 m. Determine the number of traine
- Calculate 81860
The two terms of the geometric sequence are a2=12 and a5=three halves. a) calculate the tenth term of the sequence. b) calculate the sum of the first 8 terms of the sequence. v) how many first terms of the sequence need to be added so that the sum is equa
- Difference 81849
Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half.
- 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.
- Determine 81794
Determine the quotient of the geometric sequence with the first term a1=36 so that s2 is less than or equal to 252.
- Inhabitants 81581
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage?
- 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.
- Sequence 80450
How many terms does the sequence have if a1=4, Sn=589, d=3, n=?
- The sequence
Find the nth term of the progression 2,6,12,20...
- GEOMETRIC MEANS alternating
Find the indicated number of geometric means between the pair of numbers. -32 and 4 [insert 2 means] Sequence:-32, _, _, 4
- FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81]
- Find k
Find k so that the terms k-3, k+1, and 4k-2 form a geometric sequence. Show your solution.
- What is 21
What is the next number? What is the 7th number? 160, 80, 40, 20, 10, _
- Parabolic sequence
Find the sum of the first nine terms of an arithmetic sequence whose general term is a(n) = 3n²+5
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