Show that any positive odd integer is of the form 4q+1 and 4q+3 where q is a positive integer
Answers
Answered by
20
Hope this helps.....
Attachments:
Answered by
19
Step-by-step explanation:
Let a be the positive integer.
And, b = 4 .
Then by Euclid's division lemma,
We can write a = 4q + r ,for some integer q and 0 ≤ r < 4 .
°•° Then, possible values of r is 0, 1, 2, 3 .
Taking r = 0 .
a = 4q .
Taking r = 1 .
a = 4q + 1 .
Taking r = 2
a = 4q + 2 .
Taking r = 3 .
a = 4q + 3 .
But a is an odd positive integer, so a can't be 4q , or 4q + 2 [ As these are even ] .
•°• a can be of the form 4q + 1 or 4q + 3 for some integer q .
Hence , it is solved
THANKS
#BeBrainly.
Similar questions
Accountancy,
7 months ago
Math,
7 months ago
Computer Science,
7 months ago
English,
1 year ago
English,
1 year ago