How do you write the expression for the nth term of the geometric sequence #a_1=1000, r=1.005, n=60#?

1 Answer
Apr 24, 2017

Answer:

#a_n=1000xx1.005^n# and for #n=60#, #a_60=1348.85#

Explanation:

In a geometric sequence, where first term is #a_1# and common ratio is #r#,

#n^(th)# term #a_n# is given by #a_1xxr^(n-1)#

Hence #n^(th)# term of a geometric sequence whose first term is #a_1=1000# and common ratio is #r=1.005# is

#a_n=1000xx1.005^n#

and #a_60=1000xx1.005^60~=1000xx1.34885=1348.85#,

where value of #1.005^60# has been approximated up to #5dp#.