Question

NEED HELP ASAP PLEASE EASY 10 to 20 POINTS RN

Answer 1

explicit definition:
`a_n=5n-4`

recursive definition:
`a_n=a_(n-1)+5`

Explanation:

Given arithmetic sequence: 1, 6, 11, 16, 21 ...

Therefore,

• first term a = 1
• common difference d = 5

Using the general form of arithmetic sequence:
`a_n=a+(n-1)d`

`\implies a_n=1+(n-1)5`

`\implies a_n=1+5n-5`

`\implies a_n=5n-4`

or
`a_n=a_(n-1)+5`