1,3,-1,-3,-7,-21,-25 complete next three digits
the series
Answers
Tᴏ ᴜɴᴅᴇʀꜱᴛᴀɴᴅ ʜᴏᴡ ʜᴏᴜꜱᴇʜᴏʟᴅꜱ
ᴍᴀᴋᴇ ᴅᴇᴄɪꜱɪᴏɴꜱ, ᴇᴄᴏɴᴏᴍɪꜱᴛꜱ ʟᴏᴏᴋ ᴀᴛ ᴡʜᴀᴛ ᴄᴏɴꜱᴜᴍᴇʀꜱ ᴄᴀɴ ᴀꜰꜰᴏʀᴅ. ᴛᴏ ᴅᴏ ᴛʜɪꜱ, ᴡᴇ ᴍᴜꜱᴛ ᴄʜᴀʀᴛ ᴛʜᴇ ᴄᴏɴꜱᴜᴍᴇʀ’ꜱ ʙᴜᴅɢᴇᴛ ᴄᴏɴꜱᴛʀᴀɪɴᴛ. ɪɴ ᴀ ʙᴜᴅɢᴇᴛ ᴄᴏɴꜱᴛʀᴀɪɴᴛ, ᴛʜᴇ Qᴜᴀɴᴛɪᴛʏ ᴏꜰ ᴏɴᴇ ɢᴏᴏᴅ ɪꜱ ᴍᴇᴀꜱᴜʀᴇᴅ ᴏɴ ᴛʜᴇ ʜᴏʀɪᴢᴏɴᴛᴀʟ ᴀxɪꜱ ᴀɴᴅ ᴛʜᴇ Qᴜᴀɴᴛɪᴛʏ ᴏꜰ ᴛʜᴇ ᴏᴛʜᴇʀ ɢᴏᴏᴅ ɪꜱ ᴍᴇᴀꜱᴜʀᴇᴅ ᴏɴ ᴛʜᴇ ᴠᴇʀᴛɪᴄᴀʟ ᴀxɪꜱ. ᴛʜᴇ ʙᴜᴅɢᴇᴛ ᴄᴏɴꜱᴛʀᴀɪɴᴛ ꜱʜᴏᴡꜱ ᴛʜᴇ ᴠᴀʀɪᴏᴜꜱ ᴄᴏᴍʙɪɴᴀᴛɪᴏɴꜱ ᴏꜰ ᴛʜᴇ ᴛᴡᴏ ɢᴏᴏᴅꜱ ᴛʜᴀᴛ ᴛʜᴇ ᴄᴏɴꜱᴜᴍᴇʀ ᴄᴀɴ ᴀꜰꜰᴏʀᴛᴏ ᴜɴᴅᴇʀꜱᴛᴀɴᴅ ʜᴏᴡ ʜᴏᴜꜱᴇʜᴏʟᴅꜱ ᴍᴀᴋᴇ ᴅᴇᴄɪꜱɪᴏɴꜱ, ᴇᴄᴏɴᴏᴍɪꜱᴛꜱ ʟᴏᴏᴋ ᴀᴛ ᴡʜᴀᴛ ᴄᴏɴꜱᴜᴍᴇʀꜱ ᴄᴀɴ ᴀꜰꜰᴏʀᴅ. ᴛᴏ ᴅᴏ ᴛʜɪꜱ, ᴡᴇ ᴍᴜꜱᴛ ᴄʜᴀʀᴛ ᴛʜᴇ ᴄᴏɴꜱᴜᴍᴇʀ’ꜱ ʙᴜᴅɢᴇᴛ ᴄᴏɴꜱᴛʀᴀɪɴᴛ. ɪɴ ᴀ ʙᴜᴅɢᴇᴛ ᴄᴏɴꜱᴛʀᴀɪɴᴛ, ᴛʜᴇ Qᴜᴀɴᴛɪᴛʏ ᴏꜰ ᴏɴᴇ ɢᴏᴏᴅ ɪꜱ ᴍᴇᴀꜱᴜʀᴇᴅ ᴏɴ ᴛʜᴇ ʜᴏʀɪᴢᴏɴᴛᴀʟ ᴀxɪꜱ ᴀɴᴅ ᴛʜᴇ Qᴜᴀɴᴛɪᴛʏ ᴏꜰ ᴛʜᴇ ᴏᴛʜᴇʀ ɢᴏᴏᴅ ɪꜱ ᴍᴇᴀꜱᴜʀᴇᴅ ᴏɴ ᴛʜᴇ ᴠᴇʀᴛɪᴄᴀʟ ᴀxɪꜱ. ᴛʜᴇ ʙᴜᴅɢᴇᴛ ᴄᴏɴꜱᴛʀᴀɪɴᴛ ꜱʜᴏᴡꜱ ᴛʜᴇ ᴠᴀʀɪᴏᴜꜱ ᴄᴏᴍʙɪɴᴀᴛɪᴏɴꜱ ᴏꜰ ᴛʜᴇ ᴛᴡᴏ ɢᴏᴏᴅꜱ ᴛʜᴀᴛ ᴛʜᴇ ᴄᴏɴꜱᴜᴍᴇʀ ᴄᴀɴ ᴀꜰꜰᴏʀᴅ.........
2. ɪɴ ᴇᴄᴏɴᴏᴍɪᴄꜱ, ᴀɴ ɪɴᴅɪꜰꜰᴇʀᴇɴᴄᴇ ᴄᴜʀᴠᴇ ᴄᴏɴɴᴇᴄᴛꜱ ᴘᴏɪɴᴛꜱ ᴏɴ ᴀ ɢʀᴀᴘʜ ʀᴇᴘʀᴇꜱᴇɴᴛɪɴɢ ᴅɪꜰꜰᴇʀᴇɴᴛ Qᴜᴀɴᴛɪᴛɪᴇꜱ ᴏꜰ ᴛᴡᴏ ɢᴏᴏᴅꜱ, ᴘᴏɪɴᴛꜱ ʙᴇᴛᴡᴇᴇɴ ᴡʜɪᴄʜ ᴀ ᴄᴏɴꜱᴜᴍᴇʀ ɪꜱ ɪɴᴅɪꜰꜰᴇʀᴇɴᴛ......
3. ᴀɴ ɪɴᴅɪꜰꜰᴇʀᴇɴᴄᴇ ᴄᴜʀᴠᴇ ɪꜱ ᴀ ɢʀᴀᴘʜ ꜱʜᴏᴡɪɴɢ ᴄᴏᴍʙɪɴᴀᴛɪᴏɴ ᴏꜰ ᴛᴡᴏ ɢᴏᴏᴅꜱ ᴛʜᴀᴛ ɢɪᴠᴇ ᴛʜᴇ ᴄᴏɴꜱᴜᴍᴇʀ ᴇQᴜᴀʟ ꜱᴀᴛɪꜱꜰᴀᴄᴛɪᴏɴ ᴀɴᴅ ᴜᴛɪʟɪᴛʏ. ᴇᴀᴄʜ ᴘᴏɪɴᴛ ᴏɴ ᴀɴ ɪɴᴅɪꜰꜰᴇʀᴇɴᴄᴇ ᴄᴜʀᴠᴇ ɪɴᴅɪᴄᴀᴛᴇꜱ ᴛʜᴀᴛ ᴀ ᴄᴏɴꜱᴜᴍᴇʀ ɪꜱ ɪɴᴅɪꜰꜰᴇʀᴇɴᴛ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴛᴡᴏ ᴀɴᴅ ᴀʟʟ ᴘᴏɪɴᴛꜱ ɢɪᴠᴇ ʜɪᴍ ᴛʜᴇ ꜱᴀᴍᴇ ᴜᴛɪʟɪᴛʏ........
Hope IT Helps you.....
3−1=2=2×1 , 7−3=4=2×2, 13−7=6=3×2.
These differences are consecutive multiples of 2.
The difference between the next number and 13 should be 4×2=8, so next number is n, where
n−13=8⟹n=8+13=21.
∴21 comes after 1, 3, 7, 13.