Series and Sequences Review (chapter 10 precalc honors)

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8

The sum of a geometric series with first term 3 and r=2 is 765. How many terms were added?

29, 41

What are the next two terms of 1,5,11,19 ,...

-53, -74

What are the next two terms of 10, -11, -32, ...

-43, -62

What are the next two terms of 14, -5, -24,...

46/3, 46/9

What are the next two terms of 414, 138, 46,

A sequence with terms that approach a certain number

What is "Convergent"

A sequence with terms that never approach a unique number

What is "Divergent"

.00001024

What is the 11th term of the sequence 100, 20, 4,

-111

What is the 21st term in the sequence 9, 3, -3, ...

226

What is the 27th term in the sequence -8, 1, 10, ...

23.9

What is the 53rd term of the sequence 0.5, 0.95, 1.4, 1.85,

-35

What is the fifteenth term in the sequence 14, 10.5, 7, ...

43

What is the next term in the sequence -7, -3, 4, 14, 27,...

112

What is the sixth term of the sequence 3.5, 7, 14, ...

1

What is the third term in the sequence defined as

446.25

34th partial sum of the series

Neither

Arithmetic or Geometric? 1/5, 3/7, 5/9

Converges to 0

Convergent or Divergent?

Converges to 1

Convergent or Divergent?

Divergent

Convergent or Divergent? 20, 18, 14, 8

1,1,2,3,5,8,13,...

Fibonacci Sequence

11/120

Fifth term of

12.5

Find a₁ if a₁₂=-15 and d=-2.5

1.6

Find d if a₁ is 14 and a₂₄=50.8.

.96

Find d if a₁=11 and a₅₁=59

.75

Find r if a₁=156 and a₄=65.8125

1196

Find the 23rd partial sum of the arithmetic series 173+162+151+...

n²+2n+3

Find the explicit formula for the sequence 6,11,18,27,38,51,...

-5461

Find the sum of the first seven terms of -1 + (-4)+(-16)+...

15, 12

Find two arithmetic means between 18 and 9

35, 7

Find two geometric means between 175 and 1.4

-16, 128

Find two geometric means between 2 and -1024

Recursive formula for a geometric sequence

For n≥2

Recursive formula for an arithmetic sequence

For n≥2

No finite sum

Sum of 2+4+8+...

44

Sum of 22+11+5.5+...

3.5

Sum of 5/2+10/14+20/98+...

-1810

Sum of the first 20 terms of the series 14+3+-8+...

307.8

Sum of the first 36 terms in the series -0.2+0.3+0.8+

2222222.2

Sum of the first eight terms in the series 1/5+2+20+...

.294

Sum of the first eleven terms in the series 1/36-1/27+4/81+...


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