1.

The sum of three number in A.P. is -3 and their product is 8. Find the numbers.

Answer»

Three no. ‘s in A.P. be a - d, a, a + d

So,  a - d + a + a + d = - 3

3a = - 3 => a = -1 & (a - d) a (a + d) = 8

a(a2 - d2) = 8

(-1) (1 - d2) = 8

1 - d2 = - 8 => d2 = 9 

=> d = ± 3

If a = 8 & d = 3 numbers are -4, -1, 2. 

If a = 8 & d = - numbers are 2, -1, -4.



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