ULUGUShow that any positive odd integer is of the form 6q+1 or 6q+3 or

1.	ULUGUShow that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 Where qis some integer131
Answer» Let the integer be 16q+1=61+1=76q+3=61+3=96q+5=6*1+5=11Here 7,9,11 are positive odd integer Let a be the positive odd integer which when divided by 6 gives q as quotient and r as remainder. according to Euclid's division lemmaa=bq+r a=6q+r where , a=0,1,2,3,4,5then,a=6qora=6q+1ora=6q+2ora=6q+3ora=6q+4ora=6q+5 but here,a=6q+1 & a=6q+3 & a=6q+5 are odd. Read more on Brainly.in - https://brainly.in/question/2252590#readmore Let a be the positive odd integer which when divided by 6 gives q as quotient and r as remainder. according to Euclid's division lemmaa=bq+r a=6q+r where , a=0,1,2,3,4,5then,a=6qora=6q+1ora=6q+2ora=6q+3ora=6q+4ora=6q+5 but here,a=6q+1 & a=6q+3 & a=6q+5 are odd. Read more on Brainly.in - https://brainly.in/question/2252590#readmore

ULUGUShow that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 Where qis some integer131

Answer»

Let the integer be 16q+1=6*1+1=76q+3=6*1+3=96q+5=6*1+5=11Here 7,9,11 are positive odd integer

Let a be the positive odd integer which when divided by 6 gives q as quotient and r as remainder.

according to Euclid's division lemmaa=bq+r

a=6q+r

where , a=0,1,2,3,4,5then,a=6qora=6q+1ora=6q+2ora=6q+3ora=6q+4ora=6q+5

but here,a=6q+1 & a=6q+3 & a=6q+5 are odd.

Read more on Brainly.in - https://brainly.in/question/2252590#readmore

Let a be the positive odd integer which when divided by 6 gives q as quotient and r as remainder.

according to Euclid's division lemmaa=bq+r

a=6q+r

where , a=0,1,2,3,4,5then,a=6qora=6q+1ora=6q+2ora=6q+3ora=6q+4ora=6q+5

but here,a=6q+1 & a=6q+3 & a=6q+5 are odd.

Read more on Brainly.in - https://brainly.in/question/2252590#readmore