Question

chemistry: a chemist looks up several unknown substances to determine their boiling - point. use the table to determine whether the sequence is arithmetic. if it is arithmetic, write an explicit rule and a recursive rule for the sequence. if not, explain why it is not arithmetic.
is this an arithmetic sequence? maybe sometimes yes no

Explanation:

Step1: Check the common - difference

Let the sequence of boiling points be \(a_1 = 108\), \(a_2 = 119\), \(a_3 = 142\), \(a_4 = 145\), \(a_5 = 188\). Calculate the differences: \(a_2 - a_1=119 - 108 = 11\), \(a_3 - a_2=142 - 119 = 23\), \(a_4 - a_3=145 - 142 = 3\), \(a_5 - a_4=188 - 145 = 43\).

Step2: Analyze the differences

Since \(11
eq23
eq3
eq43\), the differences between consecutive terms are not constant.

Answer:

no