5) Which term of the A.P. 3, 10, 17, 24,…….. would be 84 more than its 13thterm?
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31
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Lᴇᴛ ᴜs ᴄᴏɴsɪᴅᴇʀ,,,
A = 3
D =7
Lᴇᴛ ᴛʜᴇ ɴᴛʜ ᴛᴇʀᴍ ɪs 84 ᴍᴏʀᴇ ᴛʜᴀɴ ᴛʜᴇ 13ᴛʜ ᴛᴇʀᴍ
ᴀɴ = ᴀ13 + 84
A + (ɴ - 1)ᴅ = (ᴀ + 12ᴅ) + 84
(ɴ - 1)ᴅ = 12ᴅ + 84
(ɴ - 1) x 7 = 12 x 7 + 84
(ɴ - 1) x 7 = 7(12 +12)
ɴ - 1 = 24
ɴ = 24 + 1 = 25
Tʜᴇʀᴇғᴏʀᴇ 25ᴛʜ ᴛᴇʀᴍ ɪs ʀᴇϙᴜɪʀᴇᴅ ғᴏʀᴍ
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