The terms of a sequence are -2, -6, -10, -14, -18, what is the common difference, explicit and recursive formula?

1 Answer
Feb 19, 2017

Answer:

The common difference is #-4#;

The explicit formula is #a_n=-2-4(n-1), n>0,ninNN#

The recursive formula is #a_1=-2 and a_(n+1)=a_n-4#

Explanation:

This is an arithmetic sequence. since you can find a common difference, that is

#-6-(-2)=-10-(-6)=-14-(-10)=-18-(-14)=-4#

The explicit formula is:

#a_n=-2-4(n-1), n>0,ninNN#

The recursive formula is:

#a_1=-2 and a_(n+1)=a_n-4#