9ws58gcdcr 9ws58gcdcr

02-01-2024
Mathematics

contestada

Prove that (n+5)2-(n+3)2 is a multiple of 4 for all positive integer values of n

Respuesta :

02-01-2024

Answer:

Step-by-step explanation:

[tex](n+5)^2-(n+3)^2=(n+5+n+3)(n+5-n-3)=(2n+8)(2)=4(n+4)\\[/tex]

is a multiple of 4.

Answer Link

Otras preguntas

Ben writes the number 74,443. The value of the digit 4 in the hundreds place is 10 times the value of the digit 4 is what place vakue

If a chemical was placed in the water that caused all of the mosquito larvae to die, what would be one possible change in the food chain?

The main organ of the respiratory system

how many times greater is the value of the 2 in 204,936 than the value of the 2 in 124,936 A. 1/100 B. 1/10 C. 10 D. 100 E. 1,000

What is the total number of chromosomes in the daughter cells after mitosis?

Which plant structures transport materials such as nutrients and water from the roots to the leaves?

How did OPEC respond to U.S. support of the Israeli military against Arab forces during the October War? A. by sending aid and weapons to Israeli forces B. by t

Katy has contracted a severe case of malaria and is intravenously administered the drug chloroquine. This drug is injected directly into Katy’s vein. muscle. ep

_______ is a liquid produced by the kidneys, collected in the bladder and excreted through the urethra. A) Blood B) Plasma C) Sweat D) Urine

which of the following is not equal to 63.7 mm