Geometric Progression

The general form of geometric progression is:

a, ar, ar², ar³, ar⁴, ..

Formula:

t_n = ar^n-1

where a, the first term

r, the common ratio

Example:

Find the 7^th term of the Geometric sequence 64, 16, 4....

Solution: a = 64, r = 16 / 64

r = 1/4

t_n = ar^7–1

t₇ = ar^7–1

= ar⁶

t₇ = 64(1/4)⁶

= 64(1/4096)

t₇ = 1/64

Hence the 7^th term of Geometric sequence is 1/64

More on:

Diagonal?

Mean Deviation