Question #1abf2

1 Answer
Jan 1, 2018

There are two correct answers; a & c.

Explanation:

Arithmetic sequences are those whose terms have a common difference across all of the terms in the sequence and can be expressed using the following recursive definition:
#T_(n+1)=T_n+d#
#T_1=a#
Where the first term is equal to #a# and the common difference is #d#.
Option a can be expressed as follows:
#T_(n+1)=T_n+4#
#T_1=1#
Option c can be expressed as follows:
#T_(n+1)=T_n-4#
#T_1=1#

Hence both are arithmetic sequences (the other two options are geometric sequences with common ratios of 4 and 0.25 respectively)

Hope that helps :)