To find a sequence is arithmetic, we are going to find its common difference: where is the common difference is the current term in the sequence is the previous term in the sequence To find if a sequence is geometric, we are going to find its common ratio:
where is the common ratio is the current term in the sequence is the previous term in the sequence
1) 3,4,6,10,18 For and :
For and :
For and :
For and :
We can conclude that the sequence is neither arithmetic nor geometric.
2) For and :
For and :
For and :
For and :
We have a common ratio, we can conclude that the sequence is geometric.
3) For and :
For and :
For and :
We can conclude that the sequence is neither arithmetic nor geometric. 4) 3,15,75... For and :
For and :
For and :
For and :
We have a common ratio, we can conclude that the sequence is geometric.
5) 5,-11,-27 For and :
For and :
We have a common difference, we can conclude that the sequence is arithmetic.