What is the sixth term in the pattern #2.6, -5.2, 10.4, -20.8...#?
1 Answer
Dec 16, 2017
Explanation:
#"these are the terms of a "color(blue)"geometric sequence"#
#"the nth term of a geometric sequence is "#
#•color(white)(x)a_n=ar^(n-1)#
#"where a is the first term and r "color(blue)"the common ratio"#
#•color(white)(x)r=a_2/a_1=a_3/a_2=......=a_n/a_(n-1)#
#rArrr=(-5.2)/2.6=10.4/(-5.2)=-2#
#rArra_6=2.6xx(-2)^5=2.6xx-32=-83.2#
