A geometric sequence, also called geometric progression, is a number sequence with a common ratio between successive terms. A term in a geometric sequence can be found by multiplying the previous one by a non-zero and fixed number (a common ratio).

• geometric sequence: a sequence with a common ratio between successive terms.

• the nth term, ${t_n}$ ,of a geometric sequence:

${t_n}\; = \;{t_1} \cdot {r^{n - 1}}$

where, ${t_n}$ : nth term

${t_1}$ : first term

r : common ratio

• the nth term, ${t_n}$ ,of a geometric sequence:

${t_n}\; = \;{t_1} \cdot {r^{n - 1}}$

where, ${t_n}$ : nth term

${t_1}$ : first term

r : common ratio