Alikhan13 Alikhan13
  • 12-07-2021
  • Mathematics
contestada

Problem 7:

show that 4^n + 4^n+1 + 4^n+2 + 4^n+3 + 4^n+4 is divisible by 11 for any positive integer

Respuesta :

LammettHash
LammettHash LammettHash
  • 12-07-2021

4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴

= 4ⁿ (4⁰ + 4¹ + 4² + 4³ + 4⁴)

= 4ⁿ × 341

= 4ⁿ × 11 × 31

Answer Link

Otras preguntas

17. Which description best completes the list of characteristics? A) Single cash crops B) Manufactured goods C) Equal land distribution D) Merch
How many hydrogen ions are in 1 liter of stomach acid? (Hint: Avogadro’s number). Show your work and remember to put your answer in regular number form (NOT sci
What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?
What is the solution to the problem rounded to the correct number of significant figures? 8.01 × 4.1 = ? A. 32.8 B. 32.84 C. 32.841 D. 33
Pakistan has a system of blended law. Explain what this means
What is the rational of 61?
Body composition has little to do with cardiorespiratory fitness. Please select the best answer from the choices provided. T F
The effort of Ezekiel's ministry was to bring the people in exile back to the God of the covenant. true or false
Before the early twentieth century Russia was for the most part an agricultural society
What’s the answer I really need help!