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Find indices, sums and common ratio of a geometric sequence step-by-step
Frequently Asked Questions (FAQ)
How do you calculate a geometric sequence?
The formula for the nth term of a geometric sequence is a_n = a_1 * r^(n-1), where a_1 is the first term of the sequence, a_n is the nth term of the sequence, and r is the common ratio.
What is a geometric Sequence?
A geometric sequence is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number. It is represented by the formula a_n = a_1 * r^(n-1), where a_1 is the first term of the sequence, a_n is the nth term of the sequence, and r is the common ratio. The common ratio is obtained by dividing the current term by the previous term.
Are all geometric sequences infinite?
Not all geometric sequences are infinite. A geometric sequence can be finite if the ratio between consecutive terms is such that the last term becomes zero.
How do you find a geometric sequence?
To find a geometric sequence, identify the first term (a1) and the common ratio (r), then use the formula an = a1(r^(n-1)) to find any term in the sequence.
How do you find the nth term in a geometric sequence?
To find the nth term in a geometric sequence, use the formula an = a1(r^(n-1)), where a1 is the first term, r is the common ratio, and n is the term number.
What is a geometric sequence?
A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a constant factor called the common ratio.
What is a geometric sequence example?
An example of a geometric sequence is: 3, 6, 12, 24, 48, 96, ... In this sequence, the common ratio is 2.
What is the common ratio of the geometric sequence calculator?
The common ratio in a geometric sequence is found by dividing any term by the previous term: r=𝑎𝑛/𝑎(n-1)