Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?

Response:

Choice (b) is the right answer.

The general term for the sequence is 2n

Step-by-step explanation:

Given: The sequence is 2, 4, 6, 8, 10,...

We need to derive the general term of this sequence.

Looking at the sequence 2, 4, 6,.....

The formula for the generalized term in an arithmetic sequence is given by

where a represents the first term

and d is the common difference

For our sequence, a equals 2

and d equals 2

Then

Therefore, the general term of the sequence is 2n