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3 years ago

Which example proves the following

Mathematics

1 answer:

worty [1.4K]3 years ago

8 0

Answer:

The prime number 2.

Step-by-step explanation:

Odd number + Odd number = Even number

An odd number plus another odd number equals an even number. And most prime numbers are odd, so you might think this is true. Is it?

Wrong. The prime number 2 is an even number and

Even number + Odd number = Odd number

Odd number + Even number = Odd number

So, there is a number that can make the sum of two prime numbers odd.

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3 years ago

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Answer:

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3 years ago

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One hundred dollars less than twice last year's income?

Andrei [34K]

Answer:

2y - 100

Step-by-step explanation:

Last year's income = y

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1 year ago

The points ( 2,4) and (5,y) lie on the same line. If the slope of the line is -IA, what is the value of y

raketka [301]

Answer:

Step-by-step explanation:

Correct question

The points ( 2,4) and (5,y) lie on the same line. If the slope of the line is --1, what is the value of y

The formula for calculating slope of a line is expressed as;

m = y2-y1/x2-x1

Substitute the given point

y - 4/5-2 = -1

y-4/3 = -1

y-4 = -3

y = -3+4

y = 1

Hence the value of y is 1

4 0

3 years ago

If an=24, which recursive formula could represent the sequence below? ...,24,88, 664, 8408A) An=(An-2)^2 + An-1 ; A1=2B) An= 3An

Rudik [331]

When we substitute $n = 4$ , we get...

$a_{n-3}=a_1\\ \\ a_{n-2}=a_2\\ \\ a_{n-1}=a_3\\ \\ a_n=a_4$

Comparing the given sequence: 24, 88, 664, 8408, we get

$a_{n-3}=a_1=24\\ \\ a_{n-2}=a_2=88\\ \\ a_{n-1}=a_3=664\\ \\ a_n=a_4=8408$

We need to substitute the above values in each option and check which is TRUE.

----

Option A

$a_n=(a_{n-2})^2+a_{n-1}, a_1=2\\ \\ a_n=(88)^2+664=7744+664\\\\a_n=8408 (TRUE)$

Option B

$a_n=3a_{n-1}+16\\ \\ a_n=3(664)+16\\\\a_n=2008 (FALSE)$

Option C

$a_n=(n)a_{n-1}-8\\ \\ a_4=(4)a_3-8=4(664)-8\\\\a_4=2648 (FALSE)$

Option D

$a_n=2a_{n-2}+7a_{n-1}\\ \\ a_n=2(88)+7(664)\\ \\ a_n=4824(FALSE)$

Conclusion:

Option A is the correct answer.

6 0

4 years ago

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