Geometric progression - practice problems - page 9 of 14

Number of problems found: 272

The crime
The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in 1990 and the crime rate remains constant each year, determine the approximate number of crimes in 2025.
Tickets
On Monday, the cinema sold 33 tickets. Every next day, twice as many as the previous day. How many tickets were sold on Friday, and how many totals from Monday to Friday?
Progression
-12, 60, -300,1500 need the next 2 numbers of pattern
A perineum
A perineum string is 10% shorter than its original string. The first string is 24. What is the 9th string or term?
GP members
The geometric sequence has ten members. The last two members are 2 and -1. Which member is -1/16?
Account operations
My PHP 90,000 savings in a bank earns 6% interest in a year. If I deposit an additional PHP 10,000 at the end of 6 months, how much money will be left if I withdraw PHP 25,000 after a year?
Population growth
How many people will be on Earth from two people for 5,000 years if every couple always has four children (2 boys and two girls) at the age of 25-35, and every man will live 75 years?
Infinite Series Equation
Solve the given equation in the set N: 1 - x + x² - x³ + x⁴ - x⁵ +…. + = 1/3
Geometric progression 4
There is a number sequence: 8,4,√2,4,2√2 Prove that the sequence is geometric. Find the common ratio and the following three members.
Geometric Sequence Adding Number
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence.
Machine depreciation
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach
Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years?
Geometric Sequence Terms Quotient
A2 + a3 = -6 a1 + a2 + a3 + a4 = 20 Geometric sequence q, a1?
Geometric Sequence Quotient Sum
Calculate the quotient of the geometric sequence if the sum of the first two terms equals 1.1 and a6 = 10000. A quotient is a natural number.
Sequence Third Term Value
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93.
Geometric Progression Term Value
Calculate a3 GP if you know that q = 4 and a1 + a2 + a3 = 89.25 and a4 = 272.
Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest?
Geometric seq
Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.

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