How to find a general rule in a pattern
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ᴛʜᴇ ɢᴇɴᴇʀᴀʟ ʀᴜʟᴇ ɪs ᴛʜᴀᴛ ᴛʜᴇ ᴘᴀᴛᴛᴇʀɴ ɴᴜᴍʙᴇʀ ɪs 6 ᴛɪᴍᴇs ᴛʜᴇ ᴛᴇʀᴍ ɴᴜᴍʙᴇʀ. ᴏɴ ᴛʜᴇ sᴇᴄᴏɴᴅ ᴏғ ᴛʜᴇsᴇ ᴄᴏᴘʏᴍᴀsᴛᴇʀs ᴡᴇ ʟᴏᴏᴋ ᴀᴛ ᴀ ᴘᴀᴛᴛᴇʀɴ ᴛʜᴀᴛ ɪs ɪɴᴄʀᴇᴀsɪɴɢ ʙʏ ᴀ ᴍᴜʟᴛɪᴘʟᴇ ᴛʜᴀᴛ ɪs ᴀ ғʀᴀᴄᴛɪᴏɴ. ʜᴇʀᴇ ᴛʜᴇ ɴᴜᴍʙᴇʀs ᴀʀᴇ 8, 12, 18, 27, 81/2, … ᴛʜᴇ ɢᴇɴᴇʀᴀʟ ʀᴜʟᴇ ɪs ᴛᴏ ᴍᴜʟᴛɪᴘʟʏ ᴛʜᴇ ᴘʀᴇᴠɪᴏᴜs ᴛᴇʀᴍ ɴᴜᴍʙᴇʀ ʙʏ 3/2.
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Step-by-step explanation:
To work out the term to term rule, give the starting number of the sequence and then describe the pattern of the numbers. The first number is 3. The term to term rule is 'add 4'. Once the first term and term to term rule are known, all the terms in the sequence can be found.
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