Question

show that any positive odd integer is of the form 4q+1 4q+3​

Answer 1

Answer:

Step-by-step explanation:

let a be any positive integer  

by EDL  a = bq +r  

0 ≤ r < b

possible remainders are 0, 1, 2 , 3  

this shows that a can be in the form of 4q, 4q+1, 4q+2, 4q+3 q is quotient  

as a is odd a  can't be the form of 4q or 4q+2 as they are even

so a ill be in the form of 4q + 1 or 4q+3  

hence proved

TAKE CARe!!

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