Geometric sequence

A geometric series is a series with a constant ratio between successive terms. For example, the series

1/2+1/4+1/8+1/16+.......is geometric, because each term  except the first can be acquired by multiplying the  first term by 1/2.

 

Geometric sequence:

A arrangement in which each term after the first  is a constant multiple of the  preceding  term is a geometric sequence.For example, The sequence, 2, 6, 18, is geometric since the arrangement between two adjoining  terms is consistently 3. That is, each term multiplied by 3 will produce the next term.

The accepted term of a geometric sequence (an) with a first term of a1 and a common ratio of r is an = a1(r^n-1).