Sequences, Geometric Series

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Geometric Sequence

5,25,125,525, ..... is an example of a(an)

332050.99

A woman made $35000 during her first year of her new job at city hall. Each year she received a 10% raise. Find her total earnings during the first seven years on the job.

Geometric

Arithmetic or Geometric? 2, 6, 18, 54, 162, ...

Geometric

Arithmetic or Geometric? 49, 38, 27, 16, 5, ...

Arithmetic

Arithmetic or Geometric? 5, 9, 13, 17, 21, ...

Geometric

Arithmetic or Geometric? 70, 35, 17.5, 8.75, ...

Common difference

Arithmetic sequences always have a

Geometric sequences always have a

Common Ratio

-1275

Find the sum of 4+1+(-2)+...+-89

-2364

Find the sum of the first 24 terms of the arithmetic progression, if the first term is 5 and the common difference is -9

-728

Find the sum of the first 6 terms of the geometric series 4-12+36-108+...

38.130.

Find the sum of the first seven term of the series 32/27+16/9+8/3+...

tesselation

Geometric shapes that are repeated over a two-dimensional plane with no gaps or overlaps

Convergent

If the ratio of an infinite geometric series is geater than 0 and less than 1 then the series is

Divergent

If the ratio of an infinite geometric seriesgreater than 1 the series is

sigma

Symbol for sum

1/3 or .333...

The sum of the geometric series: 0.3 + 0.03 + 0.003 + . . .

Series

The sum of the terms of a sequence is called a(an)

Gauss's Formula

To find the sum of a finite arithmetic series use

2048

What is the 18th term of the series 1/64,1/32,1/16,1/8,1/4.....

750

What's next in the sequence? 6, 30, 150, ______, ....

4.75

What's next in the sequence? 76, 38, 19, 9.5, _______, ....

75

What's next in this sequence? 375, 300, 225, 150, ______, ...

44

What's next in this sequence? 8, 17, 26, 35, ______, ...

-3.5

What's the common difference? 48, 44.5, 41, 37.5, 34, ...

6

What's the common difference? 5, 11, 17, 23, 29, ...

-6

What's the common difference? 9, 3, -3, -9, -15, ...

1/4 or .25

What's the common ratio? 20, 5, 1.25, 0.3125

8

What's the common ratio? 3, 24, 192, 1536, ...

1/3

What's the common ratio? 99, 33, 11, 3.66666666667, ...

has a common difference

arithmetic sequence

45/2

find the sum of the geometric series 30, -10, 10/3, -10/9, ...

used to find the sum of an infinite geometric series

g(sub)1/(1-r)

-2.

the common ration of -2/5, 4-5, -8/5, ..


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