Question
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answers
Answer:
The answer can be literally anything. I can see most of the answers says 3 but, that is only one of the solutions. It is the answer when questions defines the relationship as number of characters, but the question never says that. All it says is, find me a relation which satisfies few values, and then find the relationship value at a new point.
Let us start by examining the question. So here is the question in mathematical terms:
Given:
f(1)=3, f(2)=3, f(3)=5, f(4)=4 and f(5)=4
Find f(6).
So if we assume the function to be f(x) then we know its value at 5 points.
Let’s say f(6)=K, so now we know it’s value at 6 points.
Now, given the value of a function at N points, we can always find a (N-1) degree polynomial which will be that function.
Answer:
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Step-by-step explanation:
a=
2
3+
5
∴
a
1
=
3+
5
2
On rationaliging the denominator , we get ,
a
1
=
(3+
5
)(3−
5
)
2(3−
5
)
=
9−5
6−2
5
=
4
6−2
5
=
2
3−
5
Also,
(a+
a
1
)
2
=a
2
+
a
2
1
+2
Substituting the values of a
=
a
1
,
We get ,
`(
2
3+
5
+
2
3−
5
)
2
=(a
2
+
a
2
1
+2)
∴a
2
+
a
2
1
+2=(
2
3+
5
+3−
5
)
2
=(3)
2
=9
∴a
2
+
a
2
1
=9−2=7.