Answer:
The explicit formula for Arithmetic Sequence is 
Step-by-step explanation:
Given: Foot length & shoe size in AP.
is foot length and n is shoe size.i.e., 
To find: Formula for Arithmetic sequence .i.e., 
From question,

Also, we know that
Now, consider

Thus using formula of
we get,

Therefore, The explicit formula for Arithmetic Sequence is 
Answer:
21 terms
Step-by-step explanation:
Number of terms = Exponent + 1 = 20 +1 = 21
Answer:
2
Step-by-step explanation:
We must first solve the first equation to solve the second question. If we make up an answer for each variable in the first equation, it will make it easier to solve the next. Now lets say that each of the fractions will be equal to 1/3. We can then find out that x=2, y=4, and z=4012. We then have to factor the second equation's fractions. we can factor out x, y, and z out of each fraction respectively. The equations become the same as the first set, but x, y, and z instead of 1, 2 and 2006. because we know that x=2, y=4, and z=4012, we can simplify each fraction to become 2/3, and add these fractions up to equal 2.
To solve the question we use the following analogy:
Given that the odds of winning is a/b, then the probability is b/(a+b)
hence to solve the question we proceed as follows:
a]
P(E)=11/36
odds against E=(36-11)/11
simplifying this gives us:
25/11
b] P(E)=31/36
odds against E=(36-31)/31
simplifying this we get:
5/31
hence odds in favor of E=31/5
c]P(E)=32/36
odds in favor of E will be:
36/(36-32)
simplifying the above we get:
36/4
=9/1
d]
P(E)=30/36
odds against E will be:
(36-30)/36
simplifying this we obtain:
6/36
=1/5
e] P(E)=13/36
odds against E will be:
(36-13)/13
simplifying this we obtain:
23/13
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