What do u understand by General Term of an AP❤️❤️plz answer✌️✌️
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sᴏᴍᴇᴛɪᴍᴇs ᴡᴇ ɴᴇᴇᴅ ᴛᴏ ᴀssᴜᴍᴇ ᴄᴇʀᴛᴀɪɴ ɴᴜᴍʙᴇʀ ᴏғ ᴛᴇʀᴍs ɪɴ ᴀʀɪᴛʜᴍᴇᴛɪᴄ ᴘʀᴏɢʀᴇssɪᴏɴ. ᴛʜᴇ ғᴏʟʟᴏᴡɪɴɢ ᴡᴀʏs ᴀʀᴇ ɢᴇɴᴇʀᴀʟʟʏ ᴜsᴇᴅ ғᴏʀ ᴛʜᴇ sᴇʟᴇᴄᴛɪᴏɴ ᴏғ ᴛᴇʀᴍs ɪɴ ᴀɴ ᴀʀɪᴛʜᴍᴇᴛɪᴄ ᴘʀᴏɢʀᴇssɪᴏɴ.
(ɪ) ɪғ ᴛʜᴇ sᴜᴍ ᴏғ ᴛʜʀᴇᴇ ᴛᴇʀᴍs ɪɴ ᴀʀɪᴛʜᴍᴇᴛɪᴄ ᴘʀᴏɢʀᴇssɪᴏɴ ʙᴇ ɢɪᴠᴇɴ, ᴀssᴜᴍᴇ ᴛʜᴇ ɴᴜᴍʙᴇʀs ᴀs ᴀ - ᴅ, ᴀ ᴀɴᴅ ᴀ + ᴅ. ʜᴇʀᴇ ᴄᴏᴍᴍᴏɴ ᴅɪғғᴇʀᴇɴᴄᴇ ɪs ᴅ.
(ɪɪ) ɪғ ᴛʜᴇ sᴜᴍ ᴏғ ғᴏᴜʀ ᴛᴇʀᴍs ɪɴ ᴀʀɪᴛʜᴍᴇᴛɪᴄ ᴘʀᴏɢʀᴇssɪᴏɴ ʙᴇ ɢɪᴠᴇɴ, ᴀssᴜᴍᴇ ᴛʜᴇ ɴᴜᴍʙᴇʀs ᴀs ᴀ - ③ᴅ, ᴀ - ᴅ, ᴀ + ᴅ ᴀɴᴅ ᴀ + ③ᴅ.
(ɪɪɪ) ɪғ ᴛʜᴇ sᴜᴍ ᴏғ ғɪᴠᴇ ᴛᴇʀᴍs ɪɴ ᴀʀɪᴛʜᴍᴇᴛɪᴄ ᴘʀᴏɢʀᴇssɪᴏɴ ʙᴇ ɢɪᴠᴇɴ, ᴀssᴜᴍᴇ ᴛʜᴇ ɴᴜᴍʙᴇʀs ᴀs ᴀ - ②ᴅ, ᴀ - ᴅ, ᴀ, ᴀ + ᴅ ᴀɴᴅ ᴀ + ②ᴅ. ʜᴇʀᴇ ᴄᴏᴍᴍᴏɴ ᴅɪғғᴇʀᴇɴᴄᴇ ɪs ②ᴅ.
(ɪᴠ) ɪғ ᴛʜᴇ sᴜᴍ ᴏғ sɪx ᴛᴇʀᴍs ɪɴ ᴀʀɪᴛʜᴍᴇᴛɪᴄ ᴘʀᴏɢʀᴇssɪᴏɴ ʙᴇ ɢɪᴠᴇɴ, ᴀssᴜᴍᴇ ᴛʜᴇ ɴᴜᴍʙᴇʀs ᴀs ᴀ - ⑤ᴅ, ᴀ - ③ᴅ, ᴀ - ᴅ, ᴀ + ᴅ, ᴀ + ③ᴅ ᴀɴᴅ ᴀ + ⑤ᴅ. ʜᴇʀᴇ ᴄᴏᴍᴍᴏɴ ᴅɪғғᴇʀᴇɴᴄᴇ ɪs ②ᴅ.
nth term (an) is also called the general term of the AP. Therefore, General Term of an A.P. = First term + (Term Number – 1) x (Common Difference) If there are 'n' terms in the AP, then an represents the last term which is sometimes also denoted by l.is called the general term of a.p