Search Header Logo
  1. Resource Library
  2. Math
  3. Algebra
  4. Binomial Expansion
  5. Recursive Sequences And Binomial Expansion

Recursive Sequences and Binomial expansion

Authored by Steve Koch

Mathematics

11th Grade

CCSS covered

Used 1+ times

Recursive Sequences and Binomial expansion
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the 3rd term of the sequence.

a1=5

an= 2an-1 - 1

14

13

17

16

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the first five terms.

−18,−11,−4, 3, 10-18,-11,-4,\ 3,\ 10

−24,−18,−12,−6, 0-24,-18,-12,-6,\ 0

−20,−13,−6, 1, 8-20,-13,-6,\ 1,\ 8

−18,−12,−6, 0, 6-18,-12,-6,\ 0,\ 6

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write a recursive formula for the following sequence:

10, 5, 0, -5,...

a1= 10

an= an-1 - 5

a1= 10

an= an-1 + 5

a1= 10

an= an (5)

a1= 10

an= an-1 (5)

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write a recursive formula for the following sequence:

16,8, 4, 2,...

a1=16

an=an-1 (2)

a1=16

an=an-1 (1/2)

a1=16

an=an-1 + (1/2)

a1=16

an=an-1 + (2)

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following recursive formulas represents the given sequence.


7, 14, 28, 56, 112, ...

a1=7a_1=7 , an=a(n−1)+7a_n=a_{\left(n-1\right)}+7

a1=7a_1=7 , an=a(n−1)⋅7a_n=a_{\left(n-1\right)}\cdot7

a1=7a_1=7 , an=a(n−1)⋅2a_n=a_{\left(n-1\right)}\cdot2

a1=7a_1=7 , an=a(n−1)+14a_n=a_{\left(n-1\right)}+14

Tags

CCSS.HSF.IF.A.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the first four terms of the sequence.

an= 2a(n-1) + n where a1= 0

0, 0, 0, 0

0, 1, 4, 12

0, 1, 2, 4

0, 2, 7, 18

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 (x − y) 3 

x3 − 3x2 y + 3xy2 − y3
16m 4 − 32m 3 + 24m 2 − 8m + 1 

Tags

CCSS.HSA.APR.C.5

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Microsoft

Continue with Microsoft

or continue with

Facebook

Facebook

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?