Sec.10.1
Is the following an arithmetic sequence:
-9,-3,0,3,9
no
Find the 20th term of the arithmetic sequence:
3,10,17,24,...
136
Find the sixth term of a geometric sequence for which a1= -3 and r= -2.
96
Determine whether the infinite geometric series is convergent or divergent.
729+243+81+...
convergent
Find the first five terms for the sequence below.
a1=3, an=an-1+5
3,8,13,18,23
Expand
(x-y)^3
x^3-3x^2y+3xy^2-y^3
What does d represent in an arithmetic sequence?
common difference
Write an equation for the nth term of the arithmetic sequence.
-8,-6,-4,..
an=2n-10
Write an equation for the nth term of the geometric sequence.
5,10,20,40,...
an=5(2)n-1
Find the sum of the infinite geometric series, if it exists.
-4/3+4-12+36-108+...
no sum
Find the first five terms for the sequence below.
a1=-7, an=an-1+8
-7, 1, 9, 17, 25
Expand
(a-5)^4
a^4-20a^3+150a^2-500a+625
Find the next 4 terms of the arithmetic sequence.
6, 18, 30, ....
42, 54, 66, 78
Find the arithmetic means in the sequence:
21,__,__,__,45,...
27,33,39
Find three geometric means between 3.12 and 49.92.
6.24,12.48,24.96
Find the sum of the infinite geometric series, if it exists.
3-3/2+3/4-3/8+...
2
Find the first five terms for the sequence below.
a1=-3, an=3an-1+2
-3, -7, -19, -55, -163
Expand
(2a+3)^3
8a^3+36a^2+54a+27
Determine whether the sequence is geometric. Yes or No
-8,-5,-1,4,...
No
Find the sum of 8+12+16+...+80
836
Find the sum of the geometric series.
a1=2, n=10, r=3
59,048
Find
sum_(k=1)^oo5(1/2)^(k-1)
10
Find the first three iterates of the function for the given initial value.
f(x)=3x+4, x0=-1
1, 7, 25
Find the fourth term of (6x+5)5
45,000x2
Find the next three terms of the geometric sequence.
10, 15, 22.5,...
33.75, 50.625, 75.9375
Find the first three terms of the arithmetic series.
a1=14, an=29, and Sn=129
14, 17, 20
Find
sum_(k=4)^12(1/4)3^(k-1)
66,426.8
__
Write 0.25 as a fraction.
25/99
Find the first three iterates of the function for the given initial value.
f(x)=5(x+3), x0=-2
5, 40, 215
Find the fifth term of (x-3y)6
1215x2y4