Question

prove that the sum of two consecutive odd number is divisible by 4​

Answer 1

yaa for example is we take odd number like

3 and 5 which 3+5=8

this is divisible by now another example

5 and 7 which is 5+7=13

this is again divisible by 4

hence proved

mark as brainliest plz ❤️

Answer 2

ʜɪ ,

ʟᴇᴛ ( 2x + 1 ) , ( 2x + 3 ) ᴀʀᴇ ᴛᴡᴏ

ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ᴏᴅᴅ ᴛᴇʀᴍs ,

sᴜᴍ ᴏғ ᴛᴡᴏ ᴏᴅᴅ ɴᴜᴍʙᴇʀs

= 2x + 1 + 2x + 3

= 4x + 4

= 4 ( x + 1 )

= 4ᴋ ( ʟᴇᴛ ᴋ = x + 1 )

4ᴋ ɪs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 4.

ᴛʜᴇʀᴇғᴏʀᴇ ,

sᴜᴍ ᴏғ ᴀɴʏ ᴛᴡᴏ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ᴏᴅᴅ

ɴᴜᴍʙᴇʀs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 4 .

ɪ ʜᴏᴘᴇ ᴛʜɪs ʜᴇʟᴘs ʏᴏᴜ.

:)