Recall, in an sequence, the difference between consecutive terms is constant. The constant...

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8.2 ARITHMETIC SEQUENCES AND ARITHMETIC MEANS

Transcript of Recall, in an sequence, the difference between consecutive terms is constant. The constant...

Page 1: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

8.2 ARITHMETIC SEQUENCES

AND ARITHMETIC

MEANS

Page 2: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

The nth term of an arithmetic sequence with first term and common difference d is given by:

a1

an a1 n 1 d

arithmetic

common

Page 3: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

WRITE A RULE FOR THE NTH TERM AND THEN THE SPECIFIED

TERM OF THE ARITHMETIC SEQUENCE

1.

2.

0.2, 0.25, 0.30,...; a17

32, 47, 62, 77,...; a12

Page 4: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

FIND THE MISSING VALUE USING THE ARITHMETIC SEQUENCE.

3.

a1 2, a17 82, d _____

Page 5: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

FIND THE MISSING VALUE USING THE ARITHMETIC SEQUENCE.

4.

a8 50, d 0.25, a1 _____

Page 6: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

FIND THE MISSING VALUE USING THE ARITHMETIC SEQUENCE.

5.

a1 12, d 7, an 114, n _____

Page 7: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

GIVEN THE SPECIFIED VALUES FOR THE TERMS OF AN ARITHMETIC SEQUENCE, FIND AND .

6.

a1 d

a12 9, a17 24

Page 8: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

GIVEN THE SPECIFIED VALUES FOR THE TERMS OF AN ARITHMETIC SEQUENCE, FIND AND .

7.

a1 d

a7 2, a11 8

Page 9: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

FIND THE SPECIFIED TERM FOR EACH ARITHMETIC SEQUENCE.

8. a6 17, a10 5, a9 _____

Page 10: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

FIND THE SPECIFIED TERM FOR EACH ARITHMETIC SEQUENCE.

9. a4 3, a25 66, a30 _____

Page 11: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

The terms between two given terms of an arithmetic sequence are called

between the given terms.

arithmetic means

Page 12: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

INSERT THE STATED NUMBER OF ARITHMETIC MEANS BETWEEN

THE GIVEN NUMBERS.

10. three between 5 and 23

Page 13: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

INSERT THE STATED NUMBER OF ARITHMETIC MEANS BETWEEN

THE GIVEN NUMBERS.

11. nine between -17 and -2

Page 14: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

12. The first tread of a flight of stairs is 22 cm above the ground. If each thread after the first is 15.5 cm above the level of the previous step, how high above the ground is the thread of the 19th step?

Page 15: Recall, in an sequence, the difference between consecutive terms is constant. The constant difference is called the difference and is denoted by d.

13. At the University of Arizona, the starting salary for a professor is $13,000 with an annual raise of$1,150 each year until the maximum salary of $29,100 is reached. How many years must a person teach in order to reach the maximum salary?


DT.01.1 - Derivative Rules - Power Rule, Constant Rule, Sum and Difference Rule

DT.01.1 - Derivative Rules - Power Rule, Constant Rule, Sum and Difference Rule

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Vectors are denoted by arrows.

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Ideal and Real Gases - WordPress.com...IDEAL AND REAL GASES 379 dharm \M-therm\Th8-1.pm5 The magnitude of this constant depends upon the particular gas and it is denoted by R,where

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