Question

Determine whether the sequence could be arithmetic. If so, find the common difference and the next term.

11/2, 11/3, 11/4, 11/5, 11/6

fractions

Answer 1

now 2/11,3/11 etc are in AP
so this could be in HP

Answer 2

look at the differences
11/3 - 11/2 = 22/6 - 33/6 = -11/6

11/4 - 11/3 = 33/12 - 44/12 = -11/12

they are different so this is Not an Arithmetic sequence...its not adding the same amount each time

Answer 3

however...you could say that the denominators form an arithmetic sequence, adding 1 each time