Step-by-step explanation:
Next term is - 51
Use formula Tn=a+(n-1)d
a=the first term of the sequence which is - 15
d=the difference between the terms which is - 9
Substitute
Tn=-15+(n-1)(-9)
Tn=-15+9-9n
Tn=-9n-6
From this you will be able to generate all the terms in the pattern
If they say determine the 50th term just substitute 50 by n
Tn=-9(50)-6
Tn=-450-6
Tn=-456
Answer:

Step-by-step explanation:
Given
Winning Percentage = 0.444 repeating
Required
Represent as a fraction
Represent the percentage with x

Convert to fraction

Next step, is to convert to fraction repeating
To do this, we simply subtract 1 from the denominator


Simplify to the lowest term: Divide numerator and denominator by 37


Simplify to the lowest term: Divide numerator and denominator by 3


Hence;
There winning fraction is 
Answer:
Square root of 4 is 2
so 1+
=4
frac{[1+sqrt{2x-1]}^2 }{4}=3
so 1+sqrt{2x-1]}^2=12
so 1+sqrt{2x-1}=V12
sqrt{2x-1}=V12-1
2x-1=(V12-1)^2=12-2V12+1=13-2V12
2x=13+1-2V12
2x=14-2V12
x=7-V12
x=7-2V3
I put an attachment to explain better
Step-by-step explanation:
Solution: The number of ways we can arrange 3 blue marbles if a set of 5 marbles is selected is:



Therefore, there are 10 ways we could arrange 3 blue marbles.