How do you find the indicated term of the geometric sequence where #a_1=16,807#, r=3/7, n=6?

1 Answer
Nov 27, 2017

Answer:

#T_n = T_6 = 243#

Explanation:

General form of geometric sequence is #a, ar, ar^2, ar^3, . . . a r^(n-1)#
#T_n = a r^(n-1)# where 'a' stands for first term #a_1#
Given #a_1 = 16807, r = (3/7) & n = 6#
#:. T_6 = 16807 * (3/7)^(6-1)#
#T_6 = (16807 * 3^5) / 7^5#
#T_6 = (cancel(16807) *243) / cancel(7^5)# as #7^5 = 16807 & 3^5 = 243#
#T_6 = 243#