Question

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

Answer 1

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

Answer 2

Answer:

Option (b) is correct.

The general term of the sequence is 2n

Step-by-step 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