Series and Sequences Review (chapter 10 precalc honors)
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+...