How do you find the #n#th term of the sequence #8, 12, 16, 20, 24#?
1 Answer
Mar 10, 2018
Explanation:
#"these are the terms of an "color(blue)"arithmetic sequence"#
#" the n th term of this sequence is"#
#•color(white)(x)a_n=a+(n-1)d#
#"where a is the first term and d is the "color(blue)"common difference"#
#d=a_2-a_1=a_3-a_2=......=a_n-a_(n-1)#
#"here "a=8" and "d=12-8=16-12=4#
#rArra_n=8+4(n-1)#
#color(white)(rArra_n)=4n+4#
