The expression we need to solve is:
To solve this problem, we need to not that we can simplify the fraction 2/10 by dividing both number by 2:
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
I think the answer is b but I am not for sure
Answer:
28, 56
56
Step-by-step explanation:
a
To solve this, we use the combination rule.
nCk = n!/k!(n-k)! where
n is the number of options (8) k is the number of slots (2).
Assuming the order doesn't matter, then
8C2 = 8! / 2!(8-2)!
8C2 = 8! / 2! 6!
8C2 = 40320 / 2 * 720
8C2 = 40320 / 1440
8C2 = 28
If the order does matter, then we use permutation instead.
nPk = n!/(n-k!) where n = 8 and k =2 8P2 = 8! / 6!
8P2 = 40320 / 720
8P2 = 56
b
We are told that there exist 8 ways to choose a president and a vice president. This means that, after choosing a president from 8 people, there remains 7 people to choose his vice from. Thus, the number of ways to choose a president and his vice are 8 * 7 = 56
The value of the lower class limit of the 3rd class is; 11.0
<h3>What is the lower class Interval?</h3>
The lower class limit is lowest value of that class interval while upper class limit is highest value of that class interval.
Hours Number of Students
0.0–5.4 12
5.5–10.9 16
11.0–16.4 14
16.5–21.9 11
22.0–27.4 6
Now, the third class interval is 11.0–16.4 and from definition of lower class limit, we can say that the lower class limit of the 3rd class is; 11.0
Read more about lower class interval at; brainly.com/question/16631975
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