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

1 Answer
sankarankalyanam
Nov 27, 2017

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

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