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Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
What is the form of a sequence where you get one term by doing something to the previous term?
Recursive Form
How is the value of any term calculated if the position of term is known?
A sequence usually has a position-to-value function. Alternatively, it can be derived from the recursive relationship that defines the sequence.
What does geometric sequence?
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
What is the sixth term of a geometric sequence when the first term is 1 and the common ratio is -4?
-1,024
What is the difference between an arithmetic sequence and a geometric sequence?
In an arithmetic sequence the same number (positive or negative) is added to each term to get to the next term.In a geometric sequence the same number (positive or negative) is multiplied into each term to get to the next term.A geometric sequence uses multiplicative and divisive formulas while an arithmetic uses additive and subtractive formulas.
Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
What is the form of a sequence where you get one term by doing something to the previous term?
Recursive Form
In the geometric sequence 4,12,36,....which term is 8748?
2946
When In a geometric sequence the term an plus 1 can be smaller than the term a?
Yes, it can.
How is the value of any term calculated if the position of term is known?
A sequence usually has a position-to-value function. Alternatively, it can be derived from the recursive relationship that defines the sequence.
What is the next term in the geometric sequence 4-1236?
1240
How do you determine if a sequence is geometric?
A sequence is geometric if each term is found by mutiplying the previous term by a certain number (known as the common ratio). 2,4,8,16, --> here the common ratio is 2.
Which is the recursive formula for the nth term in a geometric sequence?
You need to know two numbers to completely describe the geometric sequence: the starting number, and the ratio between each number and the previous one. When you use recursion, you always need a "base case", otherwise, the recursion will repeat without end. In words, if "n" is 1, the result is the starting term. Otherwise, it is the ratio times the "n-1"th term. The following version is appropriate for a programming language (written here in pseudocode, i.e., not for a specific language): function geometric(starting_number, ratio, term) if term = 1: result = starting_number else: result = ratio * geometric(starting_number, ratio, term - 1)
What does geometric sequence?
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 300,30,3?
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.
Which term describes a function in which the values form a geometric sequence?
1
