Geometric sequences and series are commonly used in financial calculations, such as determining compound interest over time. For example, if you invest money at a fixed annual interest rate, the amount grows in a geometric progression as you earn interest on both the initial principal and the accumulated interest. They also appear in areas like population growth modeling, where populations can increase at a constant percentage rate, leading to exponential growth patterns. Additionally, geometric series are used in computer science algorithms and signal processing for efficient data compression and analysis.
Geometric sequences appear in various real-life scenarios, such as in finance through compound interest, where the amount of money grows exponentially over time. They are also found in population growth models, where populations increase by a constant percentage each period. Additionally, geometric sequences are used in technology, such as in the design of computer algorithms that reduce processing time exponentially. These applications demonstrate how geometric sequences help describe and predict growth patterns in diverse fields.
Let r be any real number such that |r| < 1 and let a = 6 - 6r.Then the geometric sequence: a, ar, ar^2, ar^3, ... will converge to 6.Since the choice of r is arbitrary within the given range, there are infinitely many possible answers.
Dun knw...... :p
A geometric sequence is a sequence where each term is a constant multiple of the preceding term. This constant multiplying factor is called the common ratio and may have any real value. If the common ratio is greater than 0 but less than 1 then this produces a descending geometric sequence. EXAMPLE : Consider the sequence : 12, 6, 3, 1.5, 0.75, 0.375,...... Each term is half the preceding term. The common ratio is therefore ½ The sequence can be written 12, 12(½), 12(½)2, 12(½)3, 12(½)4, 12(½)5,.....
Your age on January 1 each year. Or, the year number on January 1 each year.
Let r be any real number such that |r| < 1 and let a = 6 - 6r.Then the geometric sequence: a, ar, ar^2, ar^3, ... will converge to 6.Since the choice of r is arbitrary within the given range, there are infinitely many possible answers.
Dun knw...... :p
A geometric sequence is a sequence where each term is a constant multiple of the preceding term. This constant multiplying factor is called the common ratio and may have any real value. If the common ratio is greater than 0 but less than 1 then this produces a descending geometric sequence. EXAMPLE : Consider the sequence : 12, 6, 3, 1.5, 0.75, 0.375,...... Each term is half the preceding term. The common ratio is therefore ½ The sequence can be written 12, 12(½), 12(½)2, 12(½)3, 12(½)4, 12(½)5,.....
to calculate velocity of fecal in castrated monkeys.
in a shell around the core
They are the real life mountains that exist in the oceans.
In real life? Or in the TV series
The geometric distribution appears when you have repeated trials of a random variable with a constant probability of success. The random variable which is the count of the number of failures before the first success {0, 1, 2, 3, ...} has a geometric distribution.
Your age on January 1 each year. Or, the year number on January 1 each year.
A Basketball Game.
Not in real life
in series 1 450 in series 2 650