Question

What is the general term for the sequence 1,6,11,16,...?

n + 5
5n - 4
5n + 1

Answer 1

5n-4
Just plug numbers into it. Make this a table.
n 0 1 2 3
y 1 6 11 16

Answer 2

Explanation:

The given sequence is:

1,6,11,16,...

Since, the sequence is Arithmetic progression, therefore

The general term for the sequence is:

`A_(n)=a+(n-1)d`

where a is the first term of the sequence and d is common difference.

Substituting the given values, we get

`A_(n)=1+(n-1)5`

`A_(n)=1+5n-5`

`A_(n)=5n-4`

which is the required general term.

Thus, option B is correct.