2 years ago

Sequences.

Mathematics

1 answer:

natta225 [31]2 years ago

8 0

Answer:

192.

Step-by-step explanation:

The formula you can write is y=6x, with x being the sequence number and y being the value of that number. Plugging in 32, the 32nd number would be 192.

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How many bus can fit in a room

RSB [31]

Answer: depending on the size of the room and what kind of bus

Step-by-step explanation:

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2 years ago

Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.