Question

Classify the sequence as arithmetic, geometric, Fibonacci or none of these and supply the next term. 3 , 5 , 7 , 9 ,

Answer 1

The sequence 3, 5, 7, 9, ... is an arithmetic sequence with a common difference of 2. By adding 2 to the last term (9), we determine that the next term in the sequence is 11.

Step-by-step explanation:

The sequence given is 3, 5, 7, 9, ... To classify the sequence and find the next term, let's analyze its pattern. An arithmetic sequence is one where each term after the first is formed by adding a constant difference to the previous term. Here, we see that:

5 - 3 = 2

7 - 5 = 2

9 - 7 = 2

Since the difference is constant, it is an arithmetic sequence with a common difference of 2. Therefore, to find the next term, we simply add 2 to the last term given:

9 + 2 = 11

So the next term in the sequence is 11.