Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?
n + 1
2n
2n - 1

Solution:

2, 4, 6, 8, 10, . . . is the given sequence

We should determine the representation of the general term of the given sequence

We know that

General term of an arithmetic progression is a\(_n\) = a + (n - 1)d

Where a is the first term

d is the common difference

From the sequence

a = 2 and d = 2

Substituting the values

a\(_n\) = 2 + (n - 1)2

a\(_n\) = 2 + 2n - 2

So we get

a\(_n\) = 2n

Therefore, 2n represents the general term for the sequence 2, 4, 6, 8, 10, . . ..

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Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?
n + 1
2n
2n - 1

Summary:

The general term for the sequence 2, 4, 6, 8, 10, . . . is represented as 2n.