Question #f1761

1 Answer
Jul 6, 2017

See below.

Explanation:

We are given:

#a_1=2#
#a_n=a_(n-1)-3#

If we substitute values for #n#, we get:

#a_2=a_1-3#

#a_2=2-3 = -1#

#a_3=a_2-3#

#a_3=-1-3 = -4#

#a_4=a_3-3#

#a_4=-4-3=-7#

#a_5=-7-3#

#a_5=-7-3=-10#

#a_6=a_5-3#

#a_6=-10-3=-13#

So the sequence is:

#2, -1, -4, -7, -10, -13#

It's an arithmetic sequence with a common difference, #d#, equal to -3.