Arithmetic/gepmetric sequences determine if the sequence is arithmetic

11,2,-7,-16

Arithmetic Sequence

11,2,-7,-16 are terms of an arithmetic sequence

Step-by-step explanation:

The four terms are 11,2,-7,-16

For the series to be an arithmetic progression the difference between each consecutive term must be same. An arithmetic sequence is a list of numbers with a definite pattern. In an arithmetic sequence, one takes any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence

therefore, if we calculate the difference between the consecutive terms

d1 = 11 - 2 = 9

d2 = 2 - (-7) = 9

d3 = (-7) - (-16) = 9

We find that the differences d1, d2, d3 between the consecutive terms are same. This difference is called the common difference

Hence we can conclude that this series is an Arithmetic Sequence