Question

What is the general term for the sequence 1,6,11,16,...? n + 5 5n - 4 5n + 1

Answer 1

Answer:

Step-by-step 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.

Answer 2

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