Logarithm + geometric progression - practice problems
Number of problems found: 29
- Sequence
Calculate what member of the sequence specified by (5n-2+15) has value 20. - GP sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? q =? - 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. - The terms
The terms 1/64, 1/32, and 1/16 form a geometric progression (GP). If the sum of the GP is (2³6 – 2^-6), find the number of terms. - Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217. - 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. - Deposit and saving
How long will the deposit of € 2,000 increase at an interest rate of 4.6% p. a. at 2500 €? (Ideally, calculate without logarithms) - Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =? - 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. - 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. - Geometric series
How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity? - 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? - Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double? - 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? - 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? - Population
The town has 159,000 inhabitants. 25 years ago, there were 158,000. How many people will live in a city in 10 years if the population's average rate is as in previous years? - 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 - Principal 67954
How long in months will the principal raise 5,000 euros at 5% p.. a. interest 350 euros?
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