What is the tenth term of the geometric sequence with a4 = 16 and r = 2?
1 Answer
Feb 23, 2016
1024
Explanation:
for the standard 'Geometric sequence' , the terms are
a , ar ,
ar^2 , ar^3 , ar^4 ,....................,ar^(n-1) where a , is the 1st term , r is the common ratio and the
nth term =ar^(n-1)
To find any term in the sequence , the nth term is used. To use it , requires knowing a and r .To find a.
use
a_4 = ar^3 = 16 rArr a = 16/r^3 = 16/2^3 = 16/8 = 2 now
a_10 = ar^9 = 2(2)^9 = 1024
