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In this lesson, we will learn how to work with sequences in recursive form.

Q1:

The sequence , where , is given by

List the next 6 terms .

By listing the elements , give a formula for , in terms of , for .

Give a formula for , in terms of , for .

What is ?

Solve for .

What is the range of the function ?

Q2:

Find the first five terms of the sequence with general term , where and .

Q3:

Q4:

Q5:

Q6:

Q7:

The term in a sequence is given by . Find the first six terms of this sequence, given that and .

Q8:

Q9:

Q10:

The term in a sequence is given by . Find the first six terms of this sequence, given that .

Q11:

Find given and .

Q12:

Given that 𝑎 = 8 1 and that 𝑎 = 1 2 𝑎 𝑛 + 1 𝑛 for 𝑛 ≥ 1 , find a formula for 𝑎 𝑛 in terms of 𝑛 .

Q13:

Find the arithmetic sequence in which and .