Sequences and series

The next term of the series 11,8,5,2 is...

What are the first four terms where a₁ = -16 and a_n = a_n-1 + 5?

Like question 2 - 4 on review sheet.

Find the next two numbers in the sequence below:

4,7,10,13, _____, _____

Write a recursive rule for the sequence -10, -3, 4, 11, ...

Given the recursive formula, find the 500th term:

a_n = a_n-1 -3

a₁ = 15

Given the recursive formula, $a_1=5,\ a_{n\ }=2a_{\left(n-1\right)}-1,\ n\ge2$  determine the 3rd term of the sequence.

Given the recursive arithmetic sequence, what is the value of the 5th term? Type in the value only.

$$a_n=a_{n-1}-10;\ a_1=21$$  

(a)  

In the sequence $120,\ 60,\ 30,\ 15,\ ...$  , what is the next term?

Find the next three terms: 4, 12, 36, 108, ...

Recursive formulas are mainly used for providing the ______ and the _____ in an arithmetic sequence.