sum of first n term of an A.P is 3n^2+4n . find the 25th term of this A.P .
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Given Sn = 3n2 + 4n
S1 = 3×1 + 4×1 = 7.
S2 = 3×4 + 4×2 = 12 + 8 = 20.
Therefore First term a1 = 7 & Second term a2 = 20 - 7 = 13 and d = 13 - 7 = 6.
Now 25th term an = 7 + ( 25 - 1) 6
a25 = 7 + 24 x 6
a25 = 151.
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25th term = 151
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