Question

Determine whether the sequence is arithmetic or not .if it is,find the common difference. 2,4,8,16,...

Answer 1

It is not an arithmetic sequence.

Step-by-step explanation:

An arithmetic sequence means that the differences between the numbers are the same. Based on the first two numbers of the given sequence, if it were arithmetic, it should have continued as 2, 4, 6, 8... In this case, as the sequence progresses, 2 is being added every time. However, in the sequence given, 2 is not being added but rather multiplied. In this case, the sequence given is a geometric sequence rather than arithmetic.

Answer 2

The sequence is not arithmetic, and there is no common difference to find.

Step-by-step explanation:

The given sequence is: 2, 4, 8, 16, ...

To determine whether the sequence is arithmetic or not, we need to check if the differences between consecutive terms are the same. Let's calculate the differences:

4 - 2 = 2

8 - 4 = 4

16 - 8 = 8

...

As we can see, the differences are not the same, meaning the sequence is not arithmetic. Therefore, there is no common difference to find.