Equation + geometric progression - practice problems - last page
Number of problems found: 78
- Sum of money
On a certain sum of money, invested at the rate of 10% compounded annually, the difference between the interests of the first year and the third year is 315. Find the sum. - Population 4485
The population is 22000 people. With an annual increase of 1.4%, there will be 25,000 people. How many years will it be? - Determine 3948
Determine the quotient and the first member of GP if a3 = 0.52, and a1 + a2 = 0.39. - Determine 3938
Determine the quotient and the first member of GP if a3 = 0.39, and a1 + a2 = 0.39.
- Determine 3914
Find the quotient and the sixth term of GP if a1 = 420, a1 + a2 = 630. - Determine 3876
Determine the second term and the quotient GP if a3 = 48.6 a1 + a2 = 6 - Precision 3390
The price of the device is reduced by one-fifth every year. How long before the price of the device drops to one-tenth of the price? Specify years and months with precision. - Calculate 3339
A1 + a3 = 15 a1 + a2 + a3 = 21 Calculate a1 and q (quotient of the geometric sequence). - To the cinema
Jane at 8 AM got a message that all 1093 school pupils would go to the cinema. Within 20 min she said it to the three friends. Each of them again for 20 minutes said to the other three. In this way, the message spread further. At what time do all the scho
- Insert into GP
Between numbers 5 and 640, insert as many numbers to form a geometric progression so the sum of the numbers you entered will be 630. How many numbers must you insert? - Half life
Determine the half-life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes. - Geometric sequence
In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - 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) - Geometric sequence 3
In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q, and n - number of members by their sum s_n.
- Crystal
The crystal grows every month 1.2 permille of its mass. How many months to develop a crystal from weight 177 g to 384 g? - Sequence
Calculate what member of the sequence specified by (5n-2+15) has value 20. - Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles.
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