M3 L1-2 Review

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Mathematics

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9th Grade

•

Medium

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CCSS

HSF.BF.A.2, HSF.LE.A.2, HSF.IF.A.3

Standards-aligned

LORA LYONS

Used 13+ times

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6 Slides • 26 Questions

M3 L1-2 Review

Sequence Review Day!!

Multiple Choice

Today's bellwork question, Do the 2 equations represent the same sequence?

$a_n=a_{\left(n-1\right)}+4$

a_n=4n+5

YES

Consider the sequence following a minus 8 pattern: 9, 1, -7, -15,...

a.) Write an explicit formula for the sequence.
b.) Write a recursive formula for the sequence.
c.) Find the 38th term of the sequence.

Poll

1a.) Write an explicit formula for the sequence 9, 1, -7, -15,...

$f\left(n\right)=9-8\left(n-1\right)$

$f\left(n\right)=f\left(n-1\right)-8$

$f\left(n\right)=-8n+17$

$a_n=a_{\left(n-1\right)}-8$

Poll

1b.) Write a recursive formula for the sequence 9, 1, -7, -15,...

$a_n=a_{\left(n-1\right)}-8$

$f\left(n\right)=f\left(n-1\right)-8$

$f\left(n+1\right)=f\left(n\right)-8$

Poll

1c.) Find the 38th term for the sequence 9, 1, -7, -15,...

-287

Lesson 1 Homework Questions?

Please open your notebooks to week 13: L1 Problems

Multiple Choice

What is the 15th term of the sequence an = -3n+50

-5

-95

Multiple Choice

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

a_n = 4n + 29

a_n = -4n + 25

a_n= -4n + 29

a_n = 4n + 25

Multiple Choice

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

127

356

Multiple Choice

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a_n=2+6n

a_n=-6+6n

a_n=6n-4

a_n=4-6n

Multiple Choice

Find the 22nd term of the following sequence:
5, 8, 11, ...

Multiple Choice

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

a_n = a_n-1 + 16

a_n = a_n-1 - 17

a_n = a_n-1 - 15

a_n = a_n-1 - 16

Multiple Choice

Write the recursive formula of 13, 9, 5...

a_n=a_n-1-4

a_n=a_n-1+3

a_n=a_n-1-5

a_n=a_n-1+4

Multiple Choice

The recursive formula is used to find the next value in a sequence of numbers.

True

False

Multiple Choice

The explicit formula is used to find a specific term in a sequence.

True

False

Multiple Choice

What is the explicit rule for the sequence:
11, 22, 44, 88...

a_n = 2(11)^n-1

a_n = 11x2

a_n = 11(2)^n-1

a_n+1 = a_{n *}2; a₁ = 11

Multiple Choice

Find the first four terms of the sequence.

a_n= 3(4)ⁿ

12, 48, 192, 768

12, 144, 1728, 20736

12, 24, 36, 48

3, 12, 48, 192

Multiple Choice

Which sequence has a pattern of "multiply by 4?"

2, 4, 8, 16,...

4, 12, 36, 108,...

1, 4, 7, 10,...

3, 12, 48, 192,...

Multiple Choice

A sequence is _______.

a set of numbers in a specific order.

a formula used to find a number.

the term after a_n.

a collection of data.

Multiple Choice

Given the sequence 4, 11, 18, 25...... what is a₃ ?

Multiple Choice

The 6th term of the sequence 4,7,10,13 are

Multiple Choice

What is the next term in the sequence 12, 31, 40, 49, ... ?

Multiple Choice

Write the explicit formula for the sequence.

216, 72, 24, 8, ...

$a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}$

$a_n=8\cdot3^{\left(n-1\right)}$

$a_n=216-144\left(n-1\right)$

$a_n=216\cdot3^{\left(n-1\right)}$

Multiple Choice

Write the explicit formula for the sequence.

9, 5, 1, -3, ...

$a_n=9+5\left(n-1\right)$

$a_n=9-4\left(n-1\right)$

$a_n=4+9\left(n-1\right)$

$a_n=9\cdot4^{\left(n-1\right)}$

Multiple Choice

Given the recursive formula below, write the linear equation.
a₁ = 9
a_n= a_n-1 + 2

y = 9 + 2n

y = 7 + 2n

Multiple Choice

Given the recursive formula below, find the explicit formula.
a₀= 1
a_n = a_n-1 + 5

a_n= 6 + 5n

a_n = 1 + 5n

Multiple Choice

Given the recursive formula below, find the first five terms.
u₁ = 3
u_n = u_n_-1 + 2
where n ≥ 2

3, 5, 7, 9, 11

5, 7, 9, 11, 13

Multiple Choice

Find the next three terms:
5, 8, 11, 14...

16, 19, 22

17, 19, 21

17, 20, 23

16, 18, 20

M3 L1-2 Review

Sequence Review Day!!

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