Find the middle terms of an A.P9,15,21,27,....,183
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A.P = 9 , 15 , 21 , 27 , ... , 183 No. of terms in an A.P. is 1 n = .. n = = d a = 9,1 = 183 , d = 15 - 9 = 6 183 – 9 - 6 174 6 a +1 +1 = 93 = 29 + 1 = 30 ... No. of terms = 30 . - = 9 + 84 The middle must be 15th term and 16th term . .. t₁5 = a + ( n − 1 ) d = 9 + 14 × 6 +1t16 = a + 15d = 9+ 15 x 6 = 9 + 90 99 = ... The middle terms are 93, 99.
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