What Is the common difference or common ratio of the sequence 2, 5, 8, 11...?

1 Answer
Feb 15, 2016

Answer:

The sequence has a common difference:
#d=3#

Explanation:

1) Testing for common difference(d):

#2,5,8,11#

#d_1= 5-2=3#

#d_2= 8-5=3#

#d_3= 11-8=3#

Since #d_1=d_2=d_3=color(blue)(3# , the sequence has a common difference maintained across the sequence.

The common difference: #color(blue)(d=3#

2) Testing for common ratio(r)

#r_1=5/2=2.5#

#r_2=8/5=1.6#

#r_3 = 11/8=1.375#

Since #r_1 != r_2 !=r_3# , the sequence has no common ratio.