Question

Determine whether each sequence below is arithmetic, geometric, or neither. Provide support for you conclusions. sequence1: 1/2, 7/6, 11/6, 5/2

Answer 1

The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence

The given sequence is:

$\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........$

A sequence is an arithmetic sequence if it has a common difference d

In the given sequence:

$T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}$

$T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}$

Since the sequence has a common difference of 2/3, it is an arithmetic sequence

Learn more on sequence here: brainly.com/question/25935727