Question

Using the geometric sequence of numbers 1, 3, 9, 27, … what is r, the ratio between 2 consecutive terms?

Answer 1

r = 3

Explanation:

The standard terms in a geometric sequence are

`a , ar , ar^2 , ar^3 , ...................... , ar^(n-1)`

r is called the common ratio and is the value that each term is multiplied by to obtain the next term in the sequence.

For any geometric sequence :

`r = a_2/a_1 = a_3/a_2 = ............. = a_n/a_(n-1)`

where `a_1 " is 1st term " , a_2" is 2nd term " " and so on "`

For the sequence given here `r = 3/1 = 9/3 = 3`