Understanding the Formula and Properties of Geometric Sequences | Explained with Examples

Formula for geometric sequence

The formula for a geometric sequence, also known as a geometric progression, is given by:

an = a1 * r^(n-1)

where:
– an represents the nth term of the sequence
– a1 is the first term of the sequence
– r is the common ratio of the geometric sequence
– n is the position of the term in the sequence

In this formula, each term is found by multiplying the previous term by the common ratio, r

The formula for a geometric sequence, also known as a geometric progression, is given by:

an = a1 * r^(n-1)

where:
– an represents the nth term of the sequence
– a1 is the first term of the sequence
– r is the common ratio of the geometric sequence
– n is the position of the term in the sequence

In this formula, each term is found by multiplying the previous term by the common ratio, r. The value of r determines how the terms in the sequence are related to each other. If r is greater than 1, the terms will increase as the sequence progresses. If r is between 0 and 1, the terms will decrease. If r is negative, the terms will alternate between positive and negative values.

To use the formula, you need to know the first term (a1) and the common ratio (r). By plugging in the appropriate values into the formula, you can find any term in the geometric sequence.

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