Exercises

Key Skills

Introduction to definition, identification, and general term of geometric sequences

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Practice exam-style geometric sequences problems

SL Core 1.3

A sequence is geometric if the ratio between consecutive terms is always constant, i.e.

unun+1=ris constant for all n∈N(r=1)🚫

We call r the common ratio.

For instance, the sequence

8,2,21,81…

is geometric with r=41, but

3,6,9,12…

is not since 69=23=2=36.

SL Core 1.3

The nth term of a geometric sequence is given by

un=u1rn−1📖

where u1 is the first term and r is the common ratio.

SL Core 1.3

A sequence is geometric if the ratio between consecutive terms is always constant, i.e.

unun+1=ris constant for all n∈N(r=1)🚫

We call r the common ratio.

For instance, the sequence

8,2,21,81…

is geometric with r=41, but

3,6,9,12…

is not since 69=23=2=36.

SL Core 1.3

The nth term of a geometric sequence is given by

un=u1rn−1📖

where u1 is the first term and r is the common ratio.