Exponents/Logs
16x+31 = 64x+1
X=59
Is the following sequence Arithmetic - 1, 3,5,7,9,11
Yes, because you are adding 2 everytime
Is this sequence Geometric 3,6,12,24,48,96
yes, you are multiplying by 2 every time.
solve as the limit approaches infinity
n2-3n+1/n+8
No solution
Does order matter for a permutation
yes
log(4x) = log17
X= log17/log4
What is the 7th term of the sequence - 8, 80, 152
440
What is the infinite geometric series formula
a1/1-r
solve the limit as n approaches infinity
n2+1/n2
1
Does order matter for a combination
No
8x=33
What is the arithmetic sequence formula
an=a1+(n-1)d
What is the finite geometric series formula
a(1-rⁿ)/(1-r)
Solve the limit as n approaches infinity
4n2+2n+4/n2+2
4/3
A team of 15 basketball players need a starting 5 but the team is really bad and everyone is the same height so it does not matter who plays what position or which 5 are on the court.
15C5 3003
log(7x+6) = 3
x=142
Solve: Sigma 9 on top and n=1 on bottom, (n=700)
6345
rewrite this in sigma notation 2,6,18,54
sigma 3 on top, K=0 on bottom 2(3k)
Solve as the limit goes to infinity ((x2+329)/(x4)) +8
A marathon has 100 runners and the top ten will receive the same amount of money each.
100C10 1.73*10^13
log(38x+6)=log3
x=-3/38
Solve sigma 8 on top, n=1 on the bottom 60+n
516
What is the geometric series of sigma 4 on top n=1 on the bottom 2(3n-1)
2,6,18,54
Solve as the limit approaches 3
x2+15x+54/6x2+216
-1
There are 200 students at Moeller and three get selected for Captain and vice captain, and third captain.
200P3 7880400