Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1,...

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REVIEW GAME Review of Sequences and Series

Transcript of Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1,...

Page 1: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

REVIEW GAME Review of Sequences and Series

Page 2: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 1

Find the explicit and recursive formulas for the sequence:

-4, 1, 6, 11, 16, ….

Page 3: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 1

Find the explicit and recursive formulas for the sequence:

-4, 1, 6, 11, 16, ….

Page 4: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 2

Find the explicit and recursive formulas for the following sequence:

2, 1, ½, ¼, 1/8,….

Page 5: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 2

Find the explicit and recursive formulas for the following sequence:

2, 1, ½, ¼, 1/8,….

Page 6: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 3

Find of the following sequence: 3, -1, -5, -9, -13,….

a22

Page 7: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 3

Find of the following sequence: 3, -1, -5, -9, -13,….

a22

Page 8: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 4

Find of the sequence: 3, -1, -5, -9, -13,….

S22

Page 9: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 4

Find of the sequence: 3, -1, -5, -9, -13,….

S22

Page 10: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 5

Find of the following sequence: 3, 12, 48, 192,….

a11

Page 11: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 5

Find of the following sequence: 3, 12, 48, 192,….

a11

Page 12: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 6

Find of the sequence: 3, 12, 48, 192,….

S11

Page 13: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 6

Find of the sequence: 3, 12, 48, 192,….

S11

Page 14: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 7

What does n equal when = 4? 120, 116, 112, 108,…., 4

na

Page 15: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 7

What does n equal when = 4? 120, 116, 112, 108,…., 4

na

Page 16: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 8

The 6th and 9th terms of an arithmetic sequence are 10 and 28, respectively. Find the explicit formula for the sequence.

Page 17: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 8

The 6th and 9th terms of an arithmetic sequence are 10 and 28, respectively. Find the explicit formula for the sequence.

Page 18: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 9

The 4th and 7th terms of a geometric sequence are 4 and 32, respectively. Find the explicit formula for the sequence.

Page 19: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 9

The 4th and 7th terms of a geometric sequence are 4 and 32, respectively. Find the explicit formula for the sequence.

Page 20: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 10

Does the sequence converge or diverge?

n

na

11

32

Page 21: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 10

Does the sequence converge or diverge?

n

na

11

32

Page 22: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 11

Write the series in summation notation: 4 + -8 + 16 + -32 + ….. + 1024

Page 23: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 11

Write the series in summation notation: 4 + -8 + 16 + -32 + ….. + 1024

Page 24: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 12

4 + 2 + 1 + ½ + …… Find S

Page 25: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 12

4 + 2 + 1 + ½ + …… Find S

Page 26: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 13

Find the sum:

k

k

24

1

4 8

Page 27: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 13

Find the sum:

k

k

24

1

4 8

Page 28: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 14

Find the sum:

k

k

10

1

1

6 2

Page 29: Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….

QUESTION 14

Find the sum:

k

k

10

1

1

6 2


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