Question

In an A.P the sum of three terms is 27 and their sum of squares is 293. Find three terms. the​

Answer 1

Suppose the three terms are :- a - d , a , a + d

Sum of three terms is 27

∴ a - d + a + a + d = 27

∴ 3a = 27

∴ a = 9

Now , given that sum of their squares is 293

∴ ( a - d )² + ( a )² + ( a + d )² = 293

∴ a² - 2ad + d² + a² + a² + 2ad + d² = 293

∴ 3a² + 2d² = 293

∴ 3(9)² + 2d² = 293

∴ 243 + 2d² = 293

∴ 2d² = 50

∴ d² = 25

∴ d = 5 or -5

Thus three numbers could be either 4 , 9 , 14 or 14 , 9 , 4 .

Answer 2

Answer:

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