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the sum of first 3 terms of a G.P is 16 and the sum of the next 3 terms is 128.determine the first term ,the common ratio and the sum to n terms of the G.P |
If a is first term common ratio is r a + ar + ar² = 16 and ar³ + ar4 + r5 = 128 = r³ (a + ar + ar² ) = 128 = (16) (r³) = 128 r = 2 substituting we get a (1 + 2 + 2²) = 16 a = 16/7 Sum of n terms = a (rn -1)/(r -1) = (16/7) (2n -1)/(2 -1) = (16/7)(2n -1) |