Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is...

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Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To find d: 2 nd term – 1 st term

Transcript of Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is...

Page 1: Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

Arithmetic Sequences

In an arithmetic sequence, the difference between consecutive terms is constant.

The difference is called the common difference.

To find d: 2nd term – 1st term

Page 2: Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

Arithmetic?

1. 2, 4, 8, 16

2. 6, 12, 18

3. 48, 45, 42

4. 2, 5, 7, 12

Page 3: Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

Arithmetic Sequence Formulas Recursive Formula an = an-1 + d

Explicit Formula an = a1 + (n-1)d

an = nth term a1 = 1st term n = number of terms

d = common difference

Page 4: Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

Examples

Find the 20th term of each sequence

1. 213, 201, 189, 177…

2. .0023, .0025, .0027…

Page 5: Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

More examples

Find the 17th term of the sequence:

3. a16 = 18, d = 5

Page 6: Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

Find the missing term

Use arithmetic mean = average!

4. 84, _______, 110

5. 24, _______, 57


12-1: Arithmetic Sequences and Series · Describe the common difference for an arithmetic sequence in which the terms are decreasing. 5. Y ou Decide Ms. Brooks defined two sequences,

12-1: Arithmetic Sequences and Series · Describe the common difference for an arithmetic sequence in which the terms are decreasing. 5. Y ou Decide Ms. Brooks defined two sequences,

12.2 – Analyze Arithmetic Sequences and Series. Arithmetic Sequence: The difference of consecutive terms is constant Common Difference: d, the difference.

12.2 – Analyze Arithmetic Sequences and Series. Arithmetic Sequence: The difference of consecutive terms is constant Common Difference: d, the difference.

SABIS Mathematics IM1 End of Year Revision Packet ... an arithmetic sequence, find its common difference, apply the rule of its general term, and graph it. Use arithmetic sequences

SABIS Mathematics IM1 End of Year Revision Packet ... an arithmetic sequence, find its common difference, apply the rule of its general term, and graph it. Use arithmetic sequences

LabEx1(Report) - oucoecs.ou.edu/.../ece5213/homework/hw01/LABEX1sol.doc · Web viewThe difference between the arithmetic operators ^ and .^ is – “^” raises a square matrix to

LabEx1(Report) - oucoecs.ou.edu/.../ece5213/homework/hw01/LABEX1sol.doc · Web viewThe difference between the arithmetic operators ^ and .^ is – “^” raises a square matrix to

THE DIFFERENCE BETWEEN CONSECUTIVE PRIMES, II

THE DIFFERENCE BETWEEN CONSECUTIVE PRIMES, II

Arithmetic Sequences - Koblbauer's Math Sitekoblbauermath.weebly.com/.../arithmetic_sequences.pdfA sequence is arithmetic if the difference between any consecutive terms is the same.

Arithmetic Sequences - Koblbauer's Math Sitekoblbauermath.weebly.com/.../arithmetic_sequences.pdfA sequence is arithmetic if the difference between any consecutive terms is the same.

ENROLLED ACTUARIES REPOR T Arithmetic Averages Don’t Exist · Arithmetic Averages Don’t Exist By Craig Voelker T HE DIFFERENCE between arithmetic and geometric aver-ages when

ENROLLED ACTUARIES REPOR T Arithmetic Averages Don’t Exist · Arithmetic Averages Don’t Exist By Craig Voelker T HE DIFFERENCE between arithmetic and geometric aver-ages when

Addressing the Significant Disproportionality that Does Exist€¦ · • Percentage point difference greater than 4 for three consecutive years • Secondary criteria: T he composition

Addressing the Significant Disproportionality that Does Exist€¦ · • Percentage point difference greater than 4 for three consecutive years • Secondary criteria: T he composition

6- Arithmetic Sequence - Miss Zukowski's Class...Arithmetic Sequence When the difference of a is 'he is is 4 a formula to find general of an arithmetic to be term: 4th the su Hrs rip:

6- Arithmetic Sequence - Miss Zukowski's Class...Arithmetic Sequence When the difference of a is 'he is is 4 a formula to find general of an arithmetic to be term: 4th the su Hrs rip:

, the model for the sequence · Determine the common difference, and find the next four terms of each arithmetic sequence. 20, 17, 14, « 62/87,21 First, find the common difference.

, the model for the sequence · Determine the common difference, and find the next four terms of each arithmetic sequence. 20, 17, 14, « 62/87,21 First, find the common difference.

Arithmetic Sequence and Arithmetic Series

Arithmetic Sequence and Arithmetic Series

Concept: Arithmetic Sequences EQ: How do we use arithmetic sequences to solve real world problems? F.LE.2 Vocabulary: Arithmetic sequence, Common difference,

Concept: Arithmetic Sequences EQ: How do we use arithmetic sequences to solve real world problems? F.LE.2 Vocabulary: Arithmetic sequence, Common difference,

1. Determine if the sequence could be arithmetic. If so, give the common difference. 100, 50, 25, 12.5,... Find the given term in each arithmetic sequence.

1. Determine if the sequence could be arithmetic. If so, give the common difference. 100, 50, 25, 12.5,... Find the given term in each arithmetic sequence.

Choi 2012 Arithmetic Sequence A sequence like 2, 5, 8, 11,…, where the difference between consecutive terms is a constant, is called an arithmetic sequence.

Choi 2012 Arithmetic Sequence A sequence like 2, 5, 8, 11,…, where the difference between consecutive terms is a constant, is called an arithmetic sequence.

Arithmetic and geometric sequences SAMPLEdownloads.cambridge.edu.au/education/extra/209/PageProofs...Because of the way in which an arithmetic sequence is formed, the difference between

Arithmetic and geometric sequences SAMPLEdownloads.cambridge.edu.au/education/extra/209/PageProofs...Because of the way in which an arithmetic sequence is formed, the difference between

Arithmetic Sequences - Chandler Unified School District · Arithmetic Sequence In an arithmetic sequence, the difference between each pair of consecutive terms is the same. This difference

Arithmetic Sequences - Chandler Unified School District · Arithmetic Sequence In an arithmetic sequence, the difference between each pair of consecutive terms is the same. This difference

ARITHMETIC SEQUENCES Find the next few terms in the ......SEQUENCES 15) Given that a sequence is arithmetic, a 1 = 5, and the common difference is 4, find a 37. 16) Given that a sequence

ARITHMETIC SEQUENCES Find the next few terms in the ......SEQUENCES 15) Given that a sequence is arithmetic, a 1 = 5, and the common difference is 4, find a 37. 16) Given that a sequence

D16 Arithmetic Seq and Literal Eq 2nd.GWB - 1/14 - Wed Sep ...€¦ · 25. The last term of an arithmetic sequence is 207, the common difference is 3, and the number of terms is 14,

D16 Arithmetic Seq and Literal Eq 2nd.GWB - 1/14 - Wed Sep ...€¦ · 25. The last term of an arithmetic sequence is 207, the common difference is 3, and the number of terms is 14,

DEPARTMENT OF MATHEMATICSWB1 a) The third term of an arithmetic sequence is 11 and the seventh term is 23. Find the first term and the common difference b) An arithmetic series has

DEPARTMENT OF MATHEMATICSWB1 a) The third term of an arithmetic sequence is 11 and the seventh term is 23. Find the first term and the common difference b) An arithmetic series has

Sequences and Series – Unit 7...8 is the arithmetic mean between _____ and _____. When given two non-consecutive terms, and asked to find the arithmetic means: 1) Find the common

Sequences and Series – Unit 7...8 is the arithmetic mean between _____ and _____. When given two non-consecutive terms, and asked to find the arithmetic means: 1) Find the common