Question

Determine whether the sequence is geometric. If it is geometric, find the common ratio. e², e⁴, e⁶, e⁸, . . .

Answer 1

The sequence e², e⁴, e⁶, e⁸, . . . is geometric with a common ratio of e².

Step-by-step explanation:

The given sequence e², e⁴, e⁶, e⁸, . . . is geometric.

To determine the common ratio, we divide each term of the sequence by the previous term.

1. 
   
3. Dividing e⁴ by e², we get e².
4. 
   
6. Dividing e⁶ by e⁴, we get e².
7. 
   
9. Dividing e⁸ by e⁶, we get e².
10. 
    
12. And so on...

Since the division of each term by the previous term always results in e², the common ratio of the sequence is e².