Sequences, Geometric Series
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, ..
