Concept Multiplying or dividing with a non-zero number does not change the common ratio of the G.P Calculation: Multiplying or dividing with a non-zero number does not change the common ratio of the G.P Let us consider sequence a1,a2,a3....an is a G.P. Common ratio =r=
a2
a1
=
a3
a2
=
an
an−1
If each term is multiplied/ divided by the same non-zero number it will be the same r value. So, the sequence will not change.