Question

findthe sum ofof all natural no that are less than100 and divisble by. 4

Answer 1

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Answer 2

Qᴜᴇꜱᴛɪᴏɴ :

ꜰɪɴᴅ ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ᴀʟʟ ɴᴀᴛᴜʀᴀʟ ɴᴜᴍʙᴇʀ ᴛʜᴀᴛ ᴀʀᴇ ʟᴇꜱꜱ ᴛʜᴀɴ 100 ᴀɴᴅ ᴅɪᴠɪꜱɪʙʟᴇ ʙʏ 4.

ᴀɴꜱᴡᴇʀ :

ᴛʜᴇ ꜱᴍᴀʟʟᴇꜱᴛ ɴᴀᴛᴜʀᴀʟ ɴᴜᴍʙᴇʀ ᴅɪᴠɪꜱɪʙʟᴇ ʙʏ 4 = 4

ᴛʜᴇ ʟᴀʀɢᴇꜱᴛ ɴᴜᴍʙᴇʀ ɪɴꜱɪᴅᴇ 100 × 96

ᴛʜᴜꜱ ᴀ = 4

ᴅ = 8 − 4 = 4

ɴ = ?

ᴀ ɴ =96

⇒ᴀ+(ɴ−1)ᴅ=96

⇒4+(ɴ−1).4=96

⇒(ɴ−1)4=96−4

⇒(ɴ−1)4=92

⇒ɴ−1=92/4

⇒ɴ−1=23

⇒ɴ=23+1

⇒ɴ=24

ɴᴏᴡ,

ꜱɴ = 2/ɴ [2ᴀ+(ɴ−1)ᴅ]

ꜱɴ = 2/24 [2(4)+(24−1).4]

⇒ꜱ ɴ =12[8+23.4]

⇒ꜱ ɴ =12[8+92]

⇒ꜱ ɴ =12×100

⇒ꜱ ɴ =1200

∴ ꜱᴜᴍ ᴏꜰ ᴀʟʟ ɴᴀᴛᴜʀᴀʟ ɴᴜᴍʙᴇʀꜱ. ꜱ ɴ =1200.