How do you write the first five terms of the geometric sequence #a_1=6, r=-1/4#?

1 Answer
Aug 9, 2017

Answer:

#6,-3/2,3/8,-3/32,3/128#

Explanation:

#"the terms in a geometric sequence are"#

#a,ar,ar^2,ar^3, ...... ,ar^(n-1)#

#"where a is the first term and r the common ratio"#

#"to obtain any term in the sequence multiply the previous"#
#"term by r"#

#a_1=6#

#a_2=6xx-1/4=-3/2#

#a_3=-3/2xx-1/4=3/8#

#a_4=3/8xx-1/4=-3/32#

#a_5=-3/32xx-1/4=3/128#