10 Determine k so that k + 3, 4k -6 and 3k-3 are three consecutive terms of an AP.
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ᴇɪᴛʜᴇʀ ᴋ= 5/4 ᴏʀ ᴋ = 3.
ᴛʜᴇꜱᴇ ᴀʀᴇ ᴄᴏɴꜱᴇᴄᴜᴛɪᴠᴇ ᴛᴇʀᴍꜱ ᴏꜰ ᴀɴ ᴀʀɪᴛʜᴍᴇᴛɪᴄ ᴩʀᴏɢʀᴇꜱꜱɪᴏɴ ɪꜰ ᴛʜᴇʀᴇ ɪꜱ ᴀ ᴄᴏᴍᴍᴏɴ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ; ɪ.ᴇ. ɪꜰ 2ɴᴅ ᴛᴇʀᴍ - 1ꜱᴛ ᴛᴇʀᴍ = 3ʀᴅ ᴛᴇʀᴍ - 2ɴᴅ ᴛᴇʀᴍ.
(2ᴋ²-5ᴋ+8) - (3ᴋ-2) = (4ᴋ+3) - (2ᴋ²-5ᴋ+8)
=> 2 ( 2ᴋ² - 5ᴋ + 8 ) = 4ᴋ + 3 + 3ᴋ - 2
=> 4ᴋ² - 10ᴋ + 16 = 7ᴋ + 1
=> 4ᴋ² - 17ᴋ + 15 = 0
=> ( 4ᴋ - 5 ) (ᴋ - 3 ) = 0
=> ᴋ = 5/4 ᴏʀ ᴋ = 3
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Answer:
mark as brainliest answer
Step-by-step explanation:
5/4 or 3
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