Tag: unchanging relations

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Questions Related to unchanging relations

Multiple choice maths unchanging relations algebra aid introduction to unknowns measures and relations

$n^2-n+1$ is an odd number for all

  1. $n>1$
  2. $n>2$
  3. $n\ge1$
  4. $n\ge5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For $ n = 1 $, we have $ n^2 - n + 1 = 1^2 -1 + 1 = 1 $ which is an odd number


For $ n =2 $, we have $ n^2 - n + 1 = 2^2 -2 + 1 = 3 $ which is an odd number

For $ n = 3 $, we have $ n^2 - n + 1 = 3^2 -3 + 1 = 7 $ which is an odd number

For $ n = 4 $, we have $ n^2 - n + 1 = 4^2 -4 + 1 = 13 $ which is an odd number

For $ n = 5 $, we have $ n^2 - n + 1 = 5^2 -5 + 1 = 19 $ which is an odd number

Hence, $ n^2 - n + 1 = 1^2 -1 + 1 = 1 $ is an odd number for all $ n \ge 1 $