identify the seventh term in the sequence in which a1=4096 and r=1/2
Mathematics · College · Tue Nov 03 2020
llm
Answered on
Given:
A1 = 4096
r or common ration = ½
Determine the seventh term in the geometric sequence.
n = 7
Geometric sequence formula: An = a1 ( r ) ^ n-1
Solution:
Substitute the given values of A1, r, and n in the formula for geometric sequence.
A7 = 4096 (½)^7-1
A7 = 4096 (½)^6
A7 = 4096(0.015625)
A7 = 64
The seventh term is 64.