Question

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

n + 1
2n
2n - 1

Answer 1

a(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n

Answer 2

Option (b) is correct.

The general term of the sequence is 2n

Explanation:

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

We have to find the representation of the general term of the given sequence 2, 4, 6, 8, 10, . . .

Consider the given sequence 2, 4, 6, .....

The general term of an arithmetic sequence is given by
`a_n=a+(n-1)d`

where, a = first term

d is common difference

For the given sequence a = 2

and d = 2

Then
`a_n=2+(n-1)2=2+2n-2=2n`

Thus, The general term of the sequence is 2n