# How do you write a rule for the nth term of the geometric sequence and then find #a_5# given #a_3=-28, r=7/3#?

##### 2 Answers

#### Explanation:

Let say the sequences are,

Therefore,

given that

#### Explanation:

The standard geometric sequence is.

#a,ar,ar^2,ar^3,......,ar^(n-1)# where a is the first term, r is the common ratio and the nth term is

#• ar^(n-1)# Each term in the sequence is obtained by multiplying the previous term by r, the common ratio.

#a_3=ar^2=-28#

#rArraxx(7/3)^2=-28#

#rArraxx49/9=-28#

#rArra=-28xx9/49=-36/7#

#rArra_n=-36/7(7/3)^(n-1)larrcolor(red)" nth term formula"#

#rArra_5=-36/7xx(7/3)^4=-1372/9#