Question

find the number of multiple of 4 between 10 and 250​

Answer 1

Answer:

$\huge \underline \mathtt \pink{Aɴsᴡᴇʀ}$

Lᴇᴛ ᴜs ᴄᴏɴsɪᴅᴇʀ ᴛʜᴇ ᴍᴜʟᴛɪᴘʟᴇs ᴏғ 4 ᴡʜɪᴄʜ ʟɪᴇ ʙᴇᴛᴡᴇᴇɴ 10 ᴀɴᴅ 250.

12, 16, 20, 24, 28, 32, 40,……….248.

Iᴛ ɪs ᴀɴ Aʀɪᴛʜᴍᴇᴛɪᴄ Pʀᴏɢʀᴇssɪᴏɴ(AP), ɪᴛ ɪs ᴅᴇғɪɴᴇᴅ ᴀs ᴀ sᴇʀɪᴇs ᴏғ ɴᴜᴍʙᴇʀs ɪɴ ᴏʀᴅᴇʀ ɪɴ ᴡʜɪᴄʜ ᴛʜᴇ ᴅɪғғᴇʀᴇɴᴄᴇ ᴏғ ᴀɴʏ ᴛᴡᴏ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ɴᴜᴍʙᴇʀs ɪs ᴀ ᴄᴏɴsᴛᴀɴᴛ ᴠᴀʟᴜᴇ.

Sᴛᴀʀᴛɪɴɢ ᴛᴇʀᴍ (ᴀ) = 12

Dɪғғᴇʀᴇɴᴄᴇ (ᴅ) = 4

Lᴇᴛ ᴜs ᴄᴏɴsɪᴅᴇʀ ᴛʜᴇ ᴛᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏғ ᴛᴇʀᴍs ʙᴇ ɴ, ᴛʜᴇɴ

ᴀ + (ɴ – 1)ᴅ =248

12 + (ɴ – 1)4 = 248

12 + 4ɴ – 4 = 248

12 + 4ɴ – 4 – 248 = 0

4ɴ – 240 = 0

4ɴ = 240

ɴ = 60

∴ Tʜᴇʀᴇ ᴀʀᴇ 60 ᴍᴜʟᴛɪᴘʟɪᴇs ᴏғ 4 ʟɪᴇs ʙᴇᴛᴡᴇᴇɴ 10 ᴀɴᴅ 250.