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Geometric Progression
•A geometric progression or GP is a sequence
where each new term after the first is obtained by
multiplying the preceding term by a constant r
called common ratio.
•The common ratio is obtained by dividing any
term by the preceding term i.e,
• The common ratio is defined only if no term of
the geometric sequence is zero.
• For example, the sequence 1,3,9,27,81 is a
geometric sequence.Note that after first term,
the next term is obtained by multiplying the
preceding term by 3.
• The geometric sequence has its sequence
formation:
a, ar, ar2, ar3, ...
General Formula:
Example: Find the 8th term in the Geometric
Progression 1,3,9…..
Sol:
Geometric Means
• A number G is said to be a geometric mean
between two numbers a and b if a,G,b are in
G.P. Therefore.
• Geometric Mean = ((X1)(X2)(X3)........(XN))1/N

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Geometric progression and geomatric mean

  • 1. Geometric Progression •A geometric progression or GP is a sequence where each new term after the first is obtained by multiplying the preceding term by a constant r called common ratio. •The common ratio is obtained by dividing any term by the preceding term i.e,
  • 2. • The common ratio is defined only if no term of the geometric sequence is zero. • For example, the sequence 1,3,9,27,81 is a geometric sequence.Note that after first term, the next term is obtained by multiplying the preceding term by 3. • The geometric sequence has its sequence formation: a, ar, ar2, ar3, ...
  • 3. General Formula: Example: Find the 8th term in the Geometric Progression 1,3,9….. Sol:
  • 4. Geometric Means • A number G is said to be a geometric mean between two numbers a and b if a,G,b are in G.P. Therefore. • Geometric Mean = ((X1)(X2)(X3)........(XN))1/N