Question

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

Answer 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 5 to the previous term in the sequence gives the next term.

Answer 2

`a_1=1 \\ d=a_2-a_1=6-1=5 \\ \\ a_n=a_1+d(n-1) \\ {} \ \ \ =1+5(n-1)\\ {} \ \ \ =1+5n-5\\ {} \ \ \ =5n-4`

The general term of the sequence is an = 5n - 4