The nth term of this number sequence
2, 4, 6, 8,..

nth term is 2n.

Step-by-step explanation:

Hi! To find nth term of this sequence, we must determine whether if this sequence is arithmetic or geometric.

If it’s arithmetic, it has a common difference.

If it’s geometric, it has a common ratio.

According to the sequence, it is arithmetic sequence because it has common difference.

4-2 = 2

6-4 = 2

8-6 = 2

If we keep subtracting next term with previous term, we’ll get 2. Hence, 2 is our common difference.

Now, we know that this sequence is arithmetic. To find nth term or rather say general term, we can use the formula below.

Arithmetic General Term

Where a_n stands for nth term, a_1 is first term and d is common difference.

We know that our first term is 2 and our common difference is 2.

Hence, the nth term is 2n. Also this sequence is basically an even number sequence and all even numbers are multiple of 2.