Arithmetic and Geometric Sequence

Presentation

•

Mathematics

•

10th - 12th Grade

•

Medium

•

CCSS

HSF.BF.A.2

Standards-aligned

Mary Brewer

Used 97+ times

FREE Resource

8 Slides • 12 Questions

The most popular Geometric sequence studied by scientist, artists, and mathematicians, and musicians!

Observing nature he came up with this sequence.
1,1,2,3,4,5,8,13,21,34,55,89,144,
233.... Each number before is added to the next number

Applied Math

Fibonacci Sequence

Sequences

Sequence

a list of numbers that are related to each other by a rule.

Some text here about the topic of discussion

Term

The numbers in the sequence

Multiple Choice

What is the Rule for this sequence?
3, 7, 11, 15, ...

Multiple Choice

What is the Rule for this sequence?
97, 86, 75, 64, ...

+11

-11

-8

Multiple Choice

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

63, 72, 81

79, 88, 97

70, 79, 88

61, 70, 79

Mathematical modeling and sequences

What would be the spending in the following years?

2011

2015

2018

2022

Arithmetic Sequence

Common difference

Represented in the sequence formula

as d

Multiple Choice

Find the common difference: -34, -29, -24, -19, ...

d = -5

d = 5

d = -6

d = 6

Multiple Choice

Sometimes sequences are described in subscript notation.

Given $a_1=-5$ and $a_n=a_{n-1}+3$ , what are the first 4 terms in the sequence?

-5, -2, 1, 4

-5, -8, -11, -14

3, -2, -7, -12

3, -15, 75, -375

Multiple Choice

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

a₁ = 3 and d = -5

a₁= -8 and d = 3

a₁ = -5 and d = 3

a₁ = -5 and d = -3

Multiple Choice

Write the EXPLICIT rule for the arithmetic sequence

-10, -3, 4, 11,...

a_n= 10n + 17

a_n = 7n - 17

a_n = -7n + 17

a_n = 7n + 3

Geometric Sequence

Common ratio

The amount by which we multiply each time.

Multiple Choice

What does r represent?

Radical

Common difference

Common ratio

Multiple Choice

What does a₁ represent?

Any term

First term

Last term

Multiple Choice

Find the common ratio for the geometric sequence.

-1

-7

Multiple Choice

Write the explicit formula for the geometric sequence.

a_n = 4(3)^n-1

a_n = 3(4)^n-1

a_n = -4(3)^n-1

a_n = 3(-4)^n-1

Poll

I can solve problems involving arithmetic and geometric sequence?

YES! I GOT IT

I KIND OF GOT IT,

I NEED MORE HELP WITH IT

I DO NOT UNDERSTAND IT AT ALL!

Show answer

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