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Find the middle term of the A.P 7,13,19........,241

Answer» First we find out n in the AP series givenn th Term = a + (n-1)d241= 7 + (n-1)6(n-1)6 = 241 - 7n - 1 = 234 /6n-1 = 39n = 39+1= 40Since 40 is an even number there will be two Middle term = 40/2 = 20 and 21Therefore 20th term = a + (n-1) d = 7 + (20-1) 6 = 7 + 19.6 = 7 + 114 = 121\xa021st Term = 121 + 7 = 128Ans : 121,128\xa0
121


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