Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
A geometric sequence has a constant ratio 'r' and is defined by
Computing the ratios of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
Thus, the given sequence is a geometric sequence.
As the first element of the sequence is
Therefore, the nth term is calculated as
Put n = 5 to find the next term
now, Put n = 6 to find the 6th term
Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:
Answer:
Step-by-step explanation:
That's just about impossible to determine...
Answer: 
This is the same as writing (n-m)/n
Don't forget about the parenthesis if you go with the second option.
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Explanation:
The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.
For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.
The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.
We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".
Doing a bit of algebra would have these steps
and now the expression is one single fraction.
You can add, subtract, and multiply them. These three operations obey the rules for integers. There's a polynomial division algorithm that fills formally the same role as the usual division algorithm for integers. Polynomials added to, subtracted from, or multiplied by other polynomials yield only polynomials. Likewise, integers added to, subtracted from, or multiplied by other integers yield only integers.
