Question

Find out which of the following sequences are arithmetic progressions. For those which are arithmetic progressions, find out the common difference. $1.0,1.7,2.4,3.1,.....$

Answer 1

Given sequence is $1.0,1.7,2.4,3.1,...$

Arithmetic progression is the sequence of numbers such that the difference between the consecutive numbers is constant.

For the above sequence, the difference between the any two consecutive numbers is same $i.e.,1.7-1.0=0.7,2.4-1.7=0.7,3.1-2.4=0.7,...$

Therefore, the given sequence is arithmetic progression and the common difference is $0.7$