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Since there are 37 terms. So, middle most term = (37 + 1)/2 = 19th term
=> 3 middle most terms are
18th, 19th & 20th
a = first term : d = common difference
T18 = a + 17d
T19 = a + 18d
T20 = a + 19d
=> 3a + 54 d = 225 …….. (1)
Now, last 3 terms..
T35 = a+ 34d
T36 = a + 35d
T37 = a + 36d
=> 3a + 105d = 429 ………….. (2)
Eq (1) - eq(2)
51d = 204
=> d = 4
Hence, 3a + 216 = 225
=> a = 3
So, AP is…
3,7,11,15,19,…………..147
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Hope it helps you..
The answer will be 3,7,11
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