How do you write a geometric sequence with a common ratio of 2/3?

1 Answer
Shwetank Mauria
Oct 24, 2016

Geometric sequence is {a_1,2/3a_1,4/9a_1,8/27a_1,....,(2/3)^(n-1)a_1}

Explanation:

Common ratio of 2/3 means that a succeeding number is 2/3 times the preceding number.

Here if the first number of the geometric sequence is a_1,

second number a_2 is a_1xx2/3

third number is given by a_3=a_1xx(2/3)^2

and n^(th) number is a_n=a_1xx(2/3)^(n-1)

and geometric sequence is {a_1,2/3a_1,4/9a_1,8/27a_1,....,(2/3)^(n-1)a_1}

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