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Answer:

Let x be the number added to 2, 14, 62 so that the resulting numbers may be in GP. So (2+x), (14+x), (62+x) will be in GP.

196 + 28x + x2 = 124 + 62x +2x + x2

196 + 28x + x2 = 124 + 62x +2x + x2196 – 124 = 64x – 28x

196 + 28x + x2 = 124 + 62x +2x + x2196 – 124 = 64x – 28x72 = 36x

196 + 28x + x2 = 124 + 62x +2x + x2196 – 124 = 64x – 28x72 = 36xSo x = 72/36

196 + 28x + x2 = 124 + 62x +2x + x2196 – 124 = 64x – 28x72 = 36xSo x = 72/36x = 2

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Buzarim

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