Arithmetic Sequences Review

Presentation

•

Mathematics

•

11th Grade

•

Medium

•

CCSS

HSF.BF.A.2, 8.EE.C.7B, RI. 9-10.10

Standards-aligned

Tracey Stark

Used 42+ times

FREE Resource

11 Slides • 12 Questions

Arithmetic Sequences Review

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Arithmetic Sequences

Recursive Formula: a₁=value; a_n=a_n-1+d
Explicit Formula: a_n=a₁+d(n-1)
Explicit Formula written like y=mx+b: a_n=a₀+dn

Fill in the Blanks

A sequence is arithmetic if the difference between two successive terms is

Type answer...

Common Difference

A fixed amount that you add or subtract to get from term to term

Multiple Choice

What are the next three terms in the arithmetic sequence 4, 1.5, -1, -3.5, ...

-6, -8.5, -11

-4, -5.5, -7

6, 8.5, 11

a sequence cannot have negative numbers

d = 1.5 - 4 = -2.5

-3.5 - 2.5 = -6

-6 -2.5 = -8.5

-8.5 - 2.5 = -11

Fill in the Blanks

What is the common difference of the arithmetic sequence ...,10,14,18,...

Type answer...

Multiple Choice

What is the explicit formula for the arithmetic sequence 3, 11, 19, ...

$a_n=3+8\left(n-1\right)$

$a_n=8+3\left(n-1\right)$

$a_1=3;\ a_n=a_{n-1}+8$

$a_n=-5+8\left(n-1\right)$

3, 11, 19,...

Multiple Choice

$a_1=-2;\ a_n=a_{n-1}+9$ What are the first five terms of the sequence given by

-2, 7, 16, 25, 34

7, 16, 25, 34, 43

-11, -2, 7, 16, 25

9, 7, 5, 3, 1

Fill in the Blanks

$a_n=0.5+5n$

Given the explicit formula above, find the 97th term

Type answer...

Multiple Choice

$a_n=0.5+5n$

Given the explicit formula above, find the first term and the common difference.

d = 5

$a_1=5.5$

d = -5

$a_1=5.5$

d = 5

$a_1=0.5$

d = 0.5

$a_{1\ }=5$

Multiple Choice

Given an arithmetic sequence where the 22nd term is -15 and the common difference is 6, find the first term of the sequence.

-15

-141

not enough information is given

Fill in the Blanks

The number of seats in a section of an arena form an arithmetic sequence. Row one has 14 seats and row 2 has 16 seats. How many seats are in row 30?

Type answer...

Fill in the Blanks

The 4th term of an arithmetic sequence is 7 and the 6th term is -3. What is the common difference?

Type answer...

..., 7, _____, -3

7 + d + d = -3

2d + 7 = -3

2d = -10

d = -5

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Arithmetic Sequences Review

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