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Lesson: Representing Recursive Sequences

Video

17:53

Worksheet • 17 Questions

Q1:

The sequence , where , is given by

List the next 6 terms .

  • A , , , , ,
  • B , , , , ,
  • C , , , , ,
  • D , , , , ,
  • E , , , , ,

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

  • A
  • B
  • C
  • D
  • E

Give a formula for , in terms of , for .

  • A
  • B
  • C
  • D
  • E

Give a formula for , in terms of , for .

  • A
  • B
  • C
  • D
  • E

Give a formula for , in terms of , for .

  • A
  • B
  • C
  • D
  • E

What is ?

  • A
  • B
  • C
  • D
  • E

Solve for .

  • A
  • B
  • C
  • D
  • E

What is the range of the function ?

  • Athe set of all integers
  • Bthe set of negative rationals
  • Cthe set of positive integers
  • Dthe set of postive rationals
  • Ethe set of negative integers

Q2:

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

  • A
  • B
  • C
  • D

Q3:

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

  • A
  • B
  • C
  • D

Q4:

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

  • A
  • B
  • C
  • D

Q5:

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

  • A
  • B
  • C
  • D

Q6:

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

  • A
  • B
  • C
  • D

Q7:

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

  • A
  • B
  • C
  • D

Q8:

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

  • A
  • B
  • C
  • D

Q9:

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

  • A
  • B
  • C
  • D

Q10:

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

  • A
  • B
  • C
  • D

Q11:

Find given and .

  • A
  • B
  • C
  • D

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 .

  • A 𝑎 = 2 𝑛 4 𝑛
  • B 𝑎 = 2 𝑛 8 𝑛
  • C 𝑎 = 8 2 𝑛 𝑛 4
  • D 𝑎 = 2 𝑛 𝑛 1
  • E 𝑎 = 1 2 𝑛 𝑛 + 1

Q13:

Find the arithmetic sequence in which and .

  • A