Exponents and Logs
42x=162
x=2
Find the next three terms
3,21,39....
57,75,93
What is the equation to summate a geometric sequence to infinity?
a1/1-r
What can be inferred by 1/x5?
It approached 0 and can be substituted for 0.
What is the difference between permutations and combinations?
For a permutation, the order matters. For a combination, the order does not matter.
4x=6 *round to four decimals
x=1.2925
What are the first four terms of the sequence?
an=4+(n-1)2
4,6,8,10
Summate the equation to infinity 4(0.6)n
10
What is the limit as x approached infinity of the function. (x2+3x/x4+3) +3
3
Is the following situation of combination or permutation?
18 people run for class president and vp.
Permutation
x=-0.3219
What is the 50th term of the sequence 5,9,13,17,21....
201
What is the 18th term an=15/n
.833
Evaluate the limit as x approaches infinity of the function x3+4x/x
does not exist
The Reds have 15 batters but there can only 9 batters in a lineup. How many different orders can there be>
1.82x109
183x-2=24 *4 decimals
x=1.0332
Σ(n+600) n=1 summate first five terms
3015
What is the rate of the sequence
5,7.5,11.25,16.875
1.5
Evaluate the limit as the function approached 1. x2-1/x-1
2
What is the probability for someone to finish top 3 in a 20 person race?
1/1140
The half-life of a particular isotope is 18 years. How much time will pass before there is 5 times less than the original amount? *round to nearest tenth
t=41.8 years
What is the explicit formula of the sequence?
-27,73,173,273
an=-27+(n-1)100
What does the sequence summate to at the 12th term?
5,12.5,31.25,78.125
198678.8
Evaluate the limit as x approaches 0.
(√ 9-x) +3/x
1/6
A box containing 10 buttons, 4 red buttons and 6 blue button. What is the probability that when 4 are picked, exactly 2 are blue?
6/35