Answer:
7
Step-by-step explanation:
-3 + 3 = 0
0 + 4 = 4
4 + 3 = 7
Find a ∩ b if a = {2, 5, 8, 11, 14} and b = {1, 3, 5, 7}. {1, 2, 3, 5, 7, 8, 11, 14} {5}
Maslowich
The intersection of given set a and b is a∩b = {5}.
According to the given question.
We have two sets a and b.
a = {2, 5, 8, 11, 14}
And, b = {1, 3, 5, 7}
As, we know that "the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B".
Since, only the element which is common to set a and set b is 5.
Thereofore, the intersection of given set a and b is given by
a∩b = {5}
Find out more information about intersection of sets here:
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Answer:
The equation for nth term is 3n + 5.
Step-by-step explanation:
Let a1 be a,
a3 = a + (n - 1)d
or, 14 = a + (3 - 1)d
so, 14 = a + 2d
Now,
a5 = a + (n - 1)d
or, 20 = a + (5 - 1)d
or, 20 = a + 4d
now,
a + 4d = 20
a + 2d = 14
now,
a + 4d - ( a + 2d) = 20 - 14
or, a + 4d - a - 2d = 6
or, 2d = 6
so, d = 3
Now,
a + 2d = 14
or, a + 2(3) = 14
or, a = 14 - 6
so, a = 8
Now,
an = a + (n - 1)d
or, an = 8 + (n - 1)3
or, an = 8 + 3n - 3
so, an = 3n + 5
The number of different ways to distribute m indistinguishable balls into n
distinguishable urns is given by C(m+n-1,n-1).
For example, the number of ways 6 ball can be placed in 7 boxes is given by C(6+7-1, 7-1) = C(12, 6) = 924 ways.
The length is the long side and the width is the short side.
To find the area you multiply the 2 measurements.
