Which term of the AP 3, 15, 27, 39, ... will be 120 more than its 21th term?
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Answer:
a = 3, d = 12
21st term = a + 20d
=> 3 + 20(12)
=> 3 + 240
=> 243
term value of the term An = 243 + 120 = 363
therefore An = 363 = 3 + (n-1) 12
363 = 3 + 12n - 12
=> 363 = 12n - 9
=> 372 = 12n
therefore n = 372/12
=> n = 31
answer is 31st term
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